90644400 has 480 divisors, whose sum is σ = 405926400. Its totient is φ = 18662400.

The previous prime is 90644377. The next prime is 90644417. The reversal of 90644400 is 444609.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 831546 + ... + 831654.

It is an arithmetic number, because the mean of its divisors is an integer number (845680).

Almost surely, 2^90644400 is an apocalyptic number.

90644400 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 90644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202963200).

90644400 is an abundant number, since it is smaller than the sum of its proper divisors (315282000).

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

90644400 is a wasteful number, since it uses less digits than its factorization.

90644400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 90644400 is about 9520.7352657240. The cubic root of 90644400 is about 449.2074940066.

The spelling of 90644400 in words is "ninety million, six hundred forty-four thousand, four hundred".