99765520 has 80 divisors (see below), whose sum is σ = 248220720. Its totient is φ = 37158912.

The previous prime is 99765509. The next prime is 99765521. The reversal of 99765520 is 2556799.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 802816 + 98962704 = 896^2 + 9948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99765521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147904 + ... + 148576.

It is an arithmetic number, because the mean of its divisors is an integer number (3102759).

Almost surely, 2^99765520 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 99765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124110360).

99765520 is an abundant number, since it is smaller than the sum of its proper divisors (148455200).

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

99765520 is a wasteful number, since it uses less digits than its factorization.

99765520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 43.

The square root of 99765520 is about 9988.2691193219. The cubic root of 99765520 is about 463.7958128541.

The spelling of 99765520 in words is "ninety-nine million, seven hundred sixty-five thousand, five hundred twenty".