90045864 has 128 divisors (see below), whose sum is σ = 270864000. Its totient is φ = 27620352.

The previous prime is 90045833. The next prime is 90045911. The reversal of 90045864 is 46854009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151552 + ... + 152144.

It is an arithmetic number, because the mean of its divisors is an integer number (2116125).

Almost surely, 2^90045864 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 90045864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135432000).

90045864 is an abundant number, since it is smaller than the sum of its proper divisors (180818136).

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

90045864 is a wasteful number, since it uses less digits than its factorization.

90045864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90045864 is about 9489.2499176700. The cubic root of 90045864 is about 448.2165858571.

It can be divided in two parts, 90045 and 864, that added together give a palindrome (90909).

The spelling of 90045864 in words is "ninety million, forty-five thousand, eight hundred sixty-four".