90064590 has 128 divisors (see below), whose sum is σ = 272498688. Its totient is φ = 18506880.

The previous prime is 90064567. The next prime is 90064591. The reversal of 90064590 is 9546009.

It is a happy number.

It is a super-2 number, since 2×90064590² = 16223260743736200, 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 not an unprimeable number, because it can be changed into a prime (90064591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293217 + ... + 293523.

It is an arithmetic number, because the mean of its divisors is an integer number (2128896).

Almost surely, 2^90064590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90064590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136249344).

90064590 is an abundant number, since it is smaller than the sum of its proper divisors (182434098).

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

90064590 is a wasteful number, since it uses less digits than its factorization.

90064590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 90064590 is about 9490.2365618566. The cubic root of 90064590 is about 448.2476541803.

The spelling of 90064590 in words is "ninety million, sixty-four thousand, five hundred ninety".