965676900 has 144 divisors (see below), whose sum is σ = 2959810560. Its totient is φ = 242409600.

The previous prime is 965676883. The next prime is 965676911. The reversal of 965676900 is 9676569.

It is a super-2 number, since 2×965676900² = 1865063750387220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 965676900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088257 + ... + 1089143.

It is an arithmetic number, because the mean of its divisors is an integer number (20554240).

Almost surely, 2^965676900 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 965676900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479905280).

965676900 is an abundant number, since it is smaller than the sum of its proper divisors (1994133660).

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

965676900 is a wasteful number, since it uses less digits than its factorization.

965676900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 965676900 is about 31075.3423150896. The cubic root of 965676900 is about 988.4255148327.

The spelling of 965676900 in words is "nine hundred sixty-five million, six hundred seventy-six thousand, nine hundred".