90594400 has 144 divisors (see below), whose sum is σ = 246734208. Its totient is φ = 32256000.

The previous prime is 90594397. The next prime is 90594409. The reversal of 90594400 is 449509.

It is a happy number.

It is a super-2 number, since 2×90594400² = 16414690622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90594409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322260 + ... + 322540.

It is an arithmetic number, because the mean of its divisors is an integer number (1713432).

Almost surely, 2^90594400 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 90594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123367104).

90594400 is an abundant number, since it is smaller than the sum of its proper divisors (156139808).

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

90594400 is a wasteful number, since it uses less digits than its factorization.

90594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 90594400 is about 9518.1090558997. The cubic root of 90594400 is about 449.1248836238.

The spelling of 90594400 in words is "ninety million, five hundred ninety-four thousand, four hundred".