967887488 has 64 divisors (see below), whose sum is σ = 1978969320. Its totient is φ = 471367680.

The previous prime is 967887467. The next prime is 967887491. The reversal of 967887488 is 884788769.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 174451264 + 793436224 = 13208^2 + 28168^2 .

It is a tau number, because it is divible by the number of its divisors (64).

Together with 1011081832 it forms an amicable pair .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881756 + ... + 882852.

Almost surely, 2^967887488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989484660).

967887488 is an abundant number, since it is smaller than the sum of its proper divisors (1011081832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

967887488 is a wasteful number, since it uses less digits than its factorization.

967887488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1273 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 65.

The square root of 967887488 is about 31110.8901833426. The cubic root of 967887488 is about 989.1791611186.

The spelling of 967887488 in words is "nine hundred sixty-seven million, eight hundred eighty-seven thousand, four hundred eighty-eight".