965977488 has 140 divisors (see below), whose sum is σ = 3207229248. Its totient is φ = 275970240.

The previous prime is 965977469. The next prime is 965977513. The reversal of 965977488 is 884779569.

965977488 is a `hidden beast` number, since 9 + 65 + 97 + 7 + 488 = 666.

It is a super-2 number, since 2×965977488² = 1866225014645580288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75733 + ... + 87563.

Almost surely, 2^965977488 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 965977488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603614624).

965977488 is an abundant number, since it is smaller than the sum of its proper divisors (2241251760).

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

965977488 is a wasteful number, since it uses less digits than its factorization.

965977488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864 (or 11843 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 965977488 is about 31080.1783778665. The cubic root of 965977488 is about 988.5280605278.

The spelling of 965977488 in words is "nine hundred sixty-five million, nine hundred seventy-seven thousand, four hundred eighty-eight".