90252288 has 132 divisors (see below), whose sum is σ = 298043200. Its totient is φ = 25767936.

The previous prime is 90252259. The next prime is 90252293. The reversal of 90252288 is 88225209.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63813 + ... + 65211.

Almost surely, 2^90252288 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 90252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149021600).

90252288 is an abundant number, since it is smaller than the sum of its proper divisors (207790912).

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

90252288 is a wasteful number, since it uses less digits than its factorization.

90252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90252288 is about 9500.1204202894. The cubic root of 90252288 is about 448.5588264505.

The spelling of 90252288 in words is "ninety million, two hundred fifty-two thousand, two hundred eighty-eight".