90666720 has 144 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 23841792.

The previous prime is 90666707. The next prime is 90666721. The reversal of 90666720 is 2766609.

It is a tau number, because it is divible by the number of its divisors (144).

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 (90666721) 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, 113362 + ... + 114158.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^90666720 is an apocalyptic number.

90666720 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 90666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

90666720 is an abundant number, since it is smaller than the sum of its proper divisors (223043040).

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

90666720 is a wasteful number, since it uses less digits than its factorization.

90666720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 886 counting only the distinct ones).

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

The square root of 90666720 is about 9521.9073719502. The cubic root of 90666720 is about 449.2443614741.

The spelling of 90666720 in words is "ninety million, six hundred sixty-six thousand, seven hundred twenty".