90870336 has 84 divisors (see below), whose sum is σ = 270156432. Its totient is φ = 30284928.

The previous prime is 90870323. The next prime is 90870341. The reversal of 90870336 is 63307809.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90870336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12631 + ... + 18473.

It is an arithmetic number, because the mean of its divisors is an integer number (3216148).

Almost surely, 2^90870336 is an apocalyptic number.

90870336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135078216).

90870336 is an abundant number, since it is smaller than the sum of its proper divisors (179286096).

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

90870336 is an equidigital number, since it uses as much as digits as its factorization.

90870336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90870336 is about 9532.5933512345. The cubic root of 90870336 is about 449.5804088845.

The spelling of 90870336 in words is "ninety million, eight hundred seventy thousand, three hundred thirty-six".