99561600 has 144 divisors (see below), whose sum is σ = 355361370. Its totient is φ = 26542080.

The previous prime is 99561589. The next prime is 99561607. The reversal of 99561600 is 616599.

99561600 is a `hidden beast` number, since 99 + 561 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 41679936 + 57881664 = 6456^2 + 7608^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (99561607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27072 + ... + 30528.

Almost surely, 2^99561600 is an apocalyptic number.

99561600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177680685).

99561600 is an abundant number, since it is smaller than the sum of its proper divisors (255799770).

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

99561600 is a wasteful number, since it uses less digits than its factorization.

99561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3467 counting only the distinct ones).

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

The square root of 99561600 is about 9978.0559228740. The cubic root of 99561600 is about 463.4795988828.

The spelling of 99561600 in words is "ninety-nine million, five hundred sixty-one thousand, six hundred".