90580400 has 30 divisors (see below), whose sum is σ = 217620372. Its totient is φ = 36232000.

The previous prime is 90580397. The next prime is 90580409. The reversal of 90580400 is 408509.

90580400 = T₄₆₃ + T₄₆₄ + ... + T₈₆₂.

It is a self number, because there is not a number n which added to its sum of digits gives 90580400.

It is not an unprimeable number, because it can be changed into a prime (90580409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112826 + ... + 113625.

Almost surely, 2^90580400 is an apocalyptic number.

It is an amenable number.

90580400 is an abundant number, since it is smaller than the sum of its proper divisors (127039972).

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

90580400 is a wasteful number, since it uses less digits than its factorization.

90580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226469 (or 226458 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 90580400 is about 9517.3735872876. The cubic root of 90580400 is about 449.1017472700.

Adding to 90580400 its reverse (408509), we get a palindrome (90988909).

The spelling of 90580400 in words is "ninety million, five hundred eighty thousand, four hundred".