90585440 has 72 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 32933120.

The previous prime is 90585437. The next prime is 90585461. The reversal of 90585440 is 4458509.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90585440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17021 + ... + 21699.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^90585440 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 90585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

90585440 is an abundant number, since it is smaller than the sum of its proper divisors (144696880).

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

90585440 is a wasteful number, since it uses less digits than its factorization.

90585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 90585440 is about 9517.6383625351. The cubic root of 90585440 is about 449.1100766320.

The spelling of 90585440 in words is "ninety million, five hundred eighty-five thousand, four hundred forty".