90520584 has 192 divisors, whose sum is σ = 292897920. Its totient is φ = 22809600.

The previous prime is 90520567. The next prime is 90520601. The reversal of 90520584 is 48502509.

It is an interprime number because it is at equal distance from previous prime (90520567) and next prime (90520601).

It is a super-2 number, since 2×90520584² = 16387952255402112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1239972 + ... + 1240044.

It is an arithmetic number, because the mean of its divisors is an integer number (1525510).

Almost surely, 2^90520584 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 90520584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146448960).

90520584 is an abundant number, since it is smaller than the sum of its proper divisors (202377336).

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

90520584 is a wasteful number, since it uses less digits than its factorization.

90520584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 90520584 is about 9514.2306047310. The cubic root of 90520584 is about 449.0028686844.

The spelling of 90520584 in words is "ninety million, five hundred twenty thousand, five hundred eighty-four".