99812160 has 168 divisors, whose sum is σ = 392436096. Its totient is φ = 22809600.

The previous prime is 99812143. The next prime is 99812179. The reversal of 99812160 is 6121899.

It is a tau number, because it is divible by the number of its divisors (168).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17685 + ... + 22635.

Almost surely, 2^99812160 is an apocalyptic number.

99812160 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 99812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196218048).

99812160 is an abundant number, since it is smaller than the sum of its proper divisors (292623936).

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

99812160 is a wasteful number, since it uses less digits than its factorization.

99812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 99812160 is about 9990.6035853696. The cubic root of 99812160 is about 463.8680758521.

The spelling of 99812160 in words is "ninety-nine million, eight hundred twelve thousand, one hundred sixty".