90520800 has 72 divisors (see below), whose sum is σ = 294653016. Its totient is φ = 24138240.

The previous prime is 90520799. The next prime is 90520813. The reversal of 90520800 is 802509.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16459 + ... + 21258.

It is an arithmetic number, because the mean of its divisors is an integer number (4092403).

Almost surely, 2^90520800 is an apocalyptic number.

It is an amenable number.

90520800 is an abundant number, since it is smaller than the sum of its proper divisors (204132216).

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

90520800 is a wasteful number, since it uses less digits than its factorization.

90520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37740 (or 37727 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 90520800 is about 9514.2419561413. The cubic root of 90520800 is about 449.0032258206.

The spelling of 90520800 in words is "ninety million, five hundred twenty thousand, eight hundred".