90918288 has 150 divisors (see below), whose sum is σ = 275630982. Its totient is φ = 28926720.

The previous prime is 90918253. The next prime is 90918293. The reversal of 90918288 is 88281909.

It can be written as a sum of positive squares in only one way, i.e., 79709184 + 11209104 = 8928^2 + 3348^2 .

It is a super-2 number, since 2×90918288² = 16532270185701888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1245420 + ... + 1245492.

Almost surely, 2^90918288 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 90918288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137815491).

90918288 is an abundant number, since it is smaller than the sum of its proper divisors (184712694).

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

90918288 is a wasteful number, since it uses less digits than its factorization.

90918288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 90918288 is about 9535.1081797744. The cubic root of 90918288 is about 449.6594757166.

The spelling of 90918288 in words is "ninety million, nine hundred eighteen thousand, two hundred eighty-eight".