961639800 has 96 divisors (see below), whose sum is σ = 3252113280. Its totient is φ = 233123200.

The previous prime is 961639781. The next prime is 961639801. The reversal of 961639800 is 8936169.

It is a super-2 number, since 2×961639800² = 1849502209888080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961639801) 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, 66252 + ... + 79451.

It is an arithmetic number, because the mean of its divisors is an integer number (33876180).

Almost surely, 2^961639800 is an apocalyptic number.

It is an amenable number.

961639800 is an abundant number, since it is smaller than the sum of its proper divisors (2290473480).

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

961639800 is a wasteful number, since it uses less digits than its factorization.

961639800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145733 (or 145724 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 961639800 is about 31010.3176378443. The cubic root of 961639800 is about 987.0461900288.

The spelling of 961639800 in words is "nine hundred sixty-one million, six hundred thirty-nine thousand, eight hundred".