99938880 has 224 divisors, whose sum is σ = 362102400. Its totient is φ = 25933824.

The previous prime is 99938857. The next prime is 99938893. The reversal of 99938880 is 8883999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 371386 + ... + 371654.

Almost surely, 2^99938880 is an apocalyptic number.

99938880 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 99938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051200).

99938880 is an abundant number, since it is smaller than the sum of its proper divisors (262163520).

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

99938880 is a wasteful number, since it uses less digits than its factorization.

99938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 99938880 is about 9996.9435329004. The cubic root of 99938880 is about 464.0642994523.

The spelling of 99938880 in words is "ninety-nine million, nine hundred thirty-eight thousand, eight hundred eighty".