90641584 has 30 divisors (see below), whose sum is σ = 193038860. Its totient is φ = 41199840.

The previous prime is 90641567. The next prime is 90641599. The reversal of 90641584 is 48514609.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21474 + ... + 25345.

Almost surely, 2^90641584 is an apocalyptic number.

It is an amenable number.

90641584 is an abundant number, since it is smaller than the sum of its proper divisors (102397276).

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

90641584 is a wasteful number, since it uses less digits than its factorization.

90641584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46849 (or 46832 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 90641584 is about 9520.5873768376. The cubic root of 90641584 is about 449.2028421972.

It can be divided in two parts, 9064 and 1584, that added together give a cube (10648 = 22³).

The spelling of 90641584 in words is "ninety million, six hundred forty-one thousand, five hundred eighty-four".