99561312 has 120 divisors (see below), whose sum is σ = 297479952. Its totient is φ = 32659200.

The previous prime is 99561289. The next prime is 99561313. The reversal of 99561312 is 21316599.

99561312 is a `hidden beast` number, since 99 + 561 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×99561312² = 19824909694322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99561313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183762 + ... + 184302.

Almost surely, 2^99561312 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 99561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148739976).

99561312 is an abundant number, since it is smaller than the sum of its proper divisors (197918640).

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

99561312 is a wasteful number, since it uses less digits than its factorization.

99561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 99561312 is about 9978.0414911946. The cubic root of 99561312 is about 463.4791519828.

The spelling of 99561312 in words is "ninety-nine million, five hundred sixty-one thousand, three hundred twelve".