99893520 has 160 divisors (see below), whose sum is σ = 348192000. Its totient is φ = 26320896.

The previous prime is 99893491. The next prime is 99893543. The reversal of 99893520 is 2539899.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222256 + ... + 222704.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^99893520 is an apocalyptic number.

99893520 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 99893520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

99893520 is an abundant number, since it is smaller than the sum of its proper divisors (248298480).

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

99893520 is a wasteful number, since it uses less digits than its factorization.

99893520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 99893520 is about 9994.6745819962. The cubic root of 99893520 is about 463.9940793933.

The spelling of 99893520 in words is "ninety-nine million, eight hundred ninety-three thousand, five hundred twenty".