90360252 has 48 divisors (see below), whose sum is σ = 236570880. Its totient is φ = 29823984.

The previous prime is 90360241. The next prime is 90360271. The reversal of 90360252 is 25206309.

90360252 is a `hidden beast` number, since 9 + 0 + 3 + 602 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7063 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (4928560).

Almost surely, 2^90360252 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 90360252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118285440).

90360252 is an abundant number, since it is smaller than the sum of its proper divisors (146210628).

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

90360252 is a wasteful number, since it uses less digits than its factorization.

90360252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8239 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90360252 is about 9505.8009657261. The cubic root of 90360252 is about 448.7376175125.

The spelling of 90360252 in words is "ninety million, three hundred sixty thousand, two hundred fifty-two".