90804800 has 168 divisors, whose sum is σ = 245668800. Its totient is φ = 32901120.

The previous prime is 90804787. The next prime is 90804809. The reversal of 90804800 is 840809.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (90804809) 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, 881549 + ... + 881651.

Almost surely, 2^90804800 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 90804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122834400).

90804800 is an abundant number, since it is smaller than the sum of its proper divisors (154864000).

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

90804800 is a wasteful number, since it uses less digits than its factorization.

90804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 90804800 is about 9529.1552616168. The cubic root of 90804800 is about 449.4723032440.

The spelling of 90804800 in words is "ninety million, eight hundred four thousand, eight hundred".