99157968 has 360 divisors, whose sum is σ = 370476288. Its totient is φ = 24482304.

The previous prime is 99157963. The next prime is 99157969. The reversal of 99157968 is 86975199.

99157968 is a `hidden beast` number, since 9 + 9 + 1 + 579 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99157963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2109721 + ... + 2109767.

Almost surely, 2^99157968 is an apocalyptic number.

99157968 is a gapful number since it is divisible by the number (98) 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 99157968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

99157968 is an abundant number, since it is smaller than the sum of its proper divisors (271318320).

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

99157968 is a wasteful number, since it uses less digits than its factorization.

99157968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 99157968 is about 9957.8093976537. The cubic root of 99157968 is about 462.8524207500.

The spelling of 99157968 in words is "ninety-nine million, one hundred fifty-seven thousand, nine hundred sixty-eight".