969076900 has 81 divisors (see below), whose sum is σ = 2319645153. Its totient is φ = 351146400.

The previous prime is 969076883. The next prime is 969076903. The reversal of 969076900 is 9670969.

The square root of 969076900 is 31130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 348867684 + 620209216 = 18678^2 + 24904^2 .

It is a super-2 number, since 2×969076900² = 1878220076227220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (969076903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3424159 + ... + 3424441.

Almost surely, 2^969076900 is an apocalyptic number.

969076900 is the 31130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969076900

969076900 is an abundant number, since it is smaller than the sum of its proper divisors (1350568253).

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

969076900 is a wasteful number, since it uses less digits than its factorization.

969076900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The cubic root of 969076900 is about 989.5841875179.

The spelling of 969076900 in words is "nine hundred sixty-nine million, seventy-six thousand, nine hundred".