99955600 has 60 divisors (see below), whose sum is σ = 241264816. Its totient is φ = 39795840.

The previous prime is 99955589. The next prime is 99955601. The reversal of 99955600 is 655999.

It is a happy number.

It is a super-2 number, since 2×99955600² = 19982243942720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99955601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112759 + ... + 113641.

Almost surely, 2^99955600 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 99955600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120632408).

99955600 is an abundant number, since it is smaller than the sum of its proper divisors (141309216).

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

99955600 is a wasteful number, since it uses less digits than its factorization.

99955600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 43.

The square root of 99955600 is about 9997.7797535253. The cubic root of 99955600 is about 464.0901776771.

The spelling of 99955600 in words is "ninety-nine million, nine hundred fifty-five thousand, six hundred".