963616900 has 72 divisors (see below), whose sum is σ = 2164377096. Its totient is φ = 372096000.

The previous prime is 963616883. The next prime is 963616909. The reversal of 963616900 is 9616369.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 229098496 + 734518404 = 15136^2 + 27102^2 .

It is a super-2 number, since 2×963616900² = 1857115059931220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (963616909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505950 + ... + 507850.

It is an arithmetic number, because the mean of its divisors is an integer number (30060793).

Almost surely, 2^963616900 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 963616900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082188548).

963616900 is an abundant number, since it is smaller than the sum of its proper divisors (1200760196).

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

963616900 is a wasteful number, since it uses less digits than its factorization.

963616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 963616900 is about 31042.1793693677. The cubic root of 963616900 is about 987.7221718772.

The spelling of 963616900 in words is "nine hundred sixty-three million, six hundred sixteen thousand, nine hundred".