90254976 has 64 divisors (see below), whose sum is σ = 273996480. Its totient is φ = 25786368.

The previous prime is 90254971. The next prime is 90255007. The reversal of 90254976 is 67945209.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90254971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14101 + ... + 19476.

It is an arithmetic number, because the mean of its divisors is an integer number (4281195).

Almost surely, 2^90254976 is an apocalyptic number.

90254976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90254976 is an abundant number, since it is smaller than the sum of its proper divisors (183741504).

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

90254976 is a wasteful number, since it uses less digits than its factorization.

90254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33601 (or 33589 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 90254976 is about 9500.2618911270. The cubic root of 90254976 is about 448.5632795755.

The spelling of 90254976 in words is "ninety million, two hundred fifty-four thousand, nine hundred seventy-six".