90590400 has 252 divisors, whose sum is σ = 335337912. Its totient is φ = 24053760.

The previous prime is 90590389. The next prime is 90590417. The reversal of 90590400 is 409509.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388684 + ... + 388916.

It is an arithmetic number, because the mean of its divisors is an integer number (1330706).

Almost surely, 2^90590400 is an apocalyptic number.

90590400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167668956).

90590400 is an abundant number, since it is smaller than the sum of its proper divisors (244747512).

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

90590400 is a wasteful number, since it uses less digits than its factorization.

90590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90590400 is about 9517.8989278096. The cubic root of 90590400 is about 449.1182734803.

Adding to 90590400 its reverse (409509), we get a palindrome (90999909).

The spelling of 90590400 in words is "ninety million, five hundred ninety thousand, four hundred".