90332820 has 72 divisors (see below), whose sum is σ = 284173344. Its totient is φ = 24087456.

The previous prime is 90332819. The next prime is 90332833. The reversal of 90332820 is 2823309.

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

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 23 ways as a sum of consecutive naturals, for example, 4434 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (3946852).

Almost surely, 2^90332820 is an apocalyptic number.

90332820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90332820 is an abundant number, since it is smaller than the sum of its proper divisors (193840524).

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

90332820 is a wasteful number, since it uses less digits than its factorization.

90332820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18611 (or 18597 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90332820 is about 9504.3579478048. The cubic root of 90332820 is about 448.6922029416.

The spelling of 90332820 in words is "ninety million, three hundred thirty-two thousand, eight hundred twenty".