90576400 has 60 divisors (see below), whose sum is σ = 219446272. Its totient is φ = 35925120.

The previous prime is 90576397. The next prime is 90576403. The reversal of 90576400 is 467509.

It is an interprime number because it is at equal distance from previous prime (90576397) and next prime (90576403).

It is not an unprimeable number, because it can be changed into a prime (90576403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49909 + ... + 51691.

Almost surely, 2^90576400 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 90576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109723136).

90576400 is an abundant number, since it is smaller than the sum of its proper divisors (128869872).

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

90576400 is a wasteful number, since it uses less digits than its factorization.

90576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 90576400 is about 9517.1634429593. The cubic root of 90576400 is about 449.0951364453.

The spelling of 90576400 in words is "ninety million, five hundred seventy-six thousand, four hundred".