90257120 has 72 divisors (see below), whose sum is σ = 220708152. Its totient is φ = 34878720.

The previous prime is 90257119. The next prime is 90257137. The reversal of 90257120 is 2175209.

It is a self number, because there is not a number n which added to its sum of digits gives 90257120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153467 + ... + 154053.

It is an arithmetic number, because the mean of its divisors is an integer number (3065391).

Almost surely, 2^90257120 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 90257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110354076).

90257120 is an abundant number, since it is smaller than the sum of its proper divisors (130451032).

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

90257120 is a wasteful number, since it uses less digits than its factorization.

90257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 90257120 is about 9500.3747294515. The cubic root of 90257120 is about 448.5668314094.

The spelling of 90257120 in words is "ninety million, two hundred fifty-seven thousand, one hundred twenty".