90816720 has 80 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 22792192.

The previous prime is 90816709. The next prime is 90816727. The reversal of 90816720 is 2761809.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90816727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7050 + ... + 15209.

It is an arithmetic number, because the mean of its divisors is an integer number (3726324).

Almost surely, 2^90816720 is an apocalyptic number.

It is an amenable number.

90816720 is an abundant number, since it is smaller than the sum of its proper divisors (207289200).

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

90816720 is a wasteful number, since it uses less digits than its factorization.

90816720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22292 (or 22286 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 90816720 is about 9529.7806900264. The cubic root of 90816720 is about 449.4919698822.

The spelling of 90816720 in words is "ninety million, eight hundred sixteen thousand, seven hundred twenty".