90864720 has 320 divisors, whose sum is σ = 342835200. Its totient is φ = 22049280.

The previous prime is 90864701. The next prime is 90864727. The reversal of 90864720 is 2746809.

90864720 is a `hidden beast` number, since 9 + 0 + 8 + 647 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90864727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1540051 + ... + 1540109.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^90864720 is an apocalyptic number.

90864720 is a gapful number since it is divisible by the number (90) 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 90864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

90864720 is an abundant number, since it is smaller than the sum of its proper divisors (251970480).

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

90864720 is a wasteful number, since it uses less digits than its factorization.

90864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90864720 is about 9532.2987783640. The cubic root of 90864720 is about 449.5711469856.

The spelling of 90864720 in words is "ninety million, eight hundred sixty-four thousand, seven hundred twenty".