90874368 has 240 divisors, whose sum is σ = 297152856. Its totient is φ = 26542080.

The previous prime is 90874349. The next prime is 90874369. The reversal of 90874368 is 86347809.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58247424 + 32626944 = 7632^2 + 5712^2 .

It is not an unprimeable number, because it can be changed into a prime (90874369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2216428 + ... + 2216468.

Almost surely, 2^90874368 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 90874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148576428).

90874368 is an abundant number, since it is smaller than the sum of its proper divisors (206278488).

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

90874368 is a wasteful number, since it uses less digits than its factorization.

90874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 90874368 is about 9532.8048338356. The cubic root of 90874368 is about 449.5870582176.

The spelling of 90874368 in words is "ninety million, eight hundred seventy-four thousand, three hundred sixty-eight".