90360288 has 144 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 28062720.

The previous prime is 90360271. The next prime is 90360293. The reversal of 90360288 is 88206309.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258738 + ... + 259086.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^90360288 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 90360288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

90360288 is an abundant number, since it is smaller than the sum of its proper divisors (184823712).

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

90360288 is a wasteful number, since it uses less digits than its factorization.

90360288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90360288 is about 9505.8028593065. The cubic root of 90360288 is about 448.7376771057.

It can be divided in two parts, 9036028 and 8, that added together give a square (9036036 = 3006²).

The spelling of 90360288 in words is "ninety million, three hundred sixty thousand, two hundred eighty-eight".