90664272 has 80 divisors (see below), whose sum is σ = 263554560. Its totient is φ = 30209760.

The previous prime is 90664207. The next prime is 90664309. The reversal of 90664272 is 27246609.

It is a happy number.

90664272 is a `hidden beast` number, since 9 + 0 + 6 + 642 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33697 + ... + 36287.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^90664272 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 90664272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777280).

90664272 is an abundant number, since it is smaller than the sum of its proper divisors (172890288).

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

90664272 is an equidigital number, since it uses as much as digits as its factorization.

90664272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90664272 is about 9521.7788254086. The cubic root of 90664272 is about 449.2403182409.

The spelling of 90664272 in words is "ninety million, six hundred sixty-four thousand, two hundred seventy-two".