966576900 has 216 divisors, whose sum is σ = 3021862144. Its totient is φ = 238118400.

The previous prime is 966576899. The next prime is 966576901. The reversal of 966576900 is 9675669.

It is an interprime number because it is at equal distance from previous prime (966576899) and next prime (966576901).

It is a super-2 number, since 2×966576900² = 1868541807227220000, 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 966576900.

It is not an unprimeable number, because it can be changed into a prime (966576901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18237274 + ... + 18237326.

Almost surely, 2^966576900 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 966576900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510931072).

966576900 is an abundant number, since it is smaller than the sum of its proper divisors (2055285244).

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

966576900 is a wasteful number, since it uses less digits than its factorization.

966576900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 131 counting only the distinct ones).

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

The square root of 966576900 is about 31089.8198772524. The cubic root of 966576900 is about 988.7324866387.

The spelling of 966576900 in words is "nine hundred sixty-six million, five hundred seventy-six thousand, nine hundred".