99560160 has 432 divisors, whose sum is σ = 423508176. Its totient is φ = 21159936.

The previous prime is 99560107. The next prime is 99560203. The reversal of 99560160 is 6106599.

99560160 is a `hidden beast` number, since 99 + 560 + 1 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199479 + ... + 1199561.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^99560160 is an apocalyptic number.

99560160 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 99560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211754088).

99560160 is an abundant number, since it is smaller than the sum of its proper divisors (323948016).

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

99560160 is a wasteful number, since it uses less digits than its factorization.

99560160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

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

The square root of 99560160 is about 9977.9837642682. The cubic root of 99560160 is about 463.4773643739.

The spelling of 99560160 in words is "ninety-nine million, five hundred sixty thousand, one hundred sixty".