90255920 has 40 divisors (see below), whose sum is σ = 212516160. Its totient is φ = 35642880.

The previous prime is 90255889. The next prime is 90255953. The reversal of 90255920 is 2955209.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×90255920² = 16292262190092800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 821 + ... + 13460.

It is an arithmetic number, because the mean of its divisors is an integer number (5312904).

Almost surely, 2^90255920 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 90255920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106258080).

90255920 is an abundant number, since it is smaller than the sum of its proper divisors (122260240).

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

90255920 is a wasteful number, since it uses less digits than its factorization.

90255920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14373 (or 14367 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 90255920 is about 9500.3115738380. The cubic root of 90255920 is about 448.5648434496.

The spelling of 90255920 in words is "ninety million, two hundred fifty-five thousand, nine hundred twenty".