90720960 has 224 divisors, whose sum is σ = 321283584. Its totient is φ = 21683200.

The previous prime is 90720943. The next prime is 90720967. The reversal of 90720960 is 6902709.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90720967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277725 + ... + 1277795.

Almost surely, 2^90720960 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 90720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160641792).

90720960 is an abundant number, since it is smaller than the sum of its proper divisors (230562624).

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

90720960 is a wasteful number, since it uses less digits than its factorization.

90720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 90720960 is about 9524.7551149623. The cubic root of 90720960 is about 449.3339281741. Note that the first 3 decimals are identical.

The spelling of 90720960 in words is "ninety million, seven hundred twenty thousand, nine hundred sixty".