99765120 has 256 divisors, whose sum is σ = 392071680. Its totient is φ = 21012480.

The previous prime is 99765109. The next prime is 99765139. The reversal of 99765120 is 2156799.

It is a super-2 number, since 2×99765120² = 19906158337228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 174435 + ... + 175005.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^99765120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

99765120 is an abundant number, since it is smaller than the sum of its proper divisors (292306560).

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

99765120 is a wasteful number, since it uses less digits than its factorization.

99765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 99765120 is about 9988.2490958125. The cubic root of 99765120 is about 463.7951930054.

The spelling of 99765120 in words is "ninety-nine million, seven hundred sixty-five thousand, one hundred twenty".