90918585 has 64 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 46725120.

The previous prime is 90918577. The next prime is 90918589. The reversal of 90918585 is 58581909.

It is not a de Polignac number, because 90918585 - 2³ = 90918577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90918585.

It is not an unprimeable number, because it can be changed into a prime (90918589) 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, 693970 + ... + 694100.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^90918585 is an apocalyptic number.

It is an amenable number.

90918585 is a deficient number, since it is larger than the sum of its proper divisors (76731975).

90918585 is a wasteful number, since it uses less digits than its factorization.

90918585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 90918585 is about 9535.1237537853. The cubic root of 90918585 is about 449.6599653457.

The spelling of 90918585 in words is "ninety million, nine hundred eighteen thousand, five hundred eighty-five".