90164664 has 48 divisors (see below), whose sum is σ = 253245720. Its totient is φ = 30054240.

The previous prime is 90164663. The next prime is 90164689. The reversal of 90164664 is 46646109.

90164664 is a `hidden beast` number, since 9 + 0 + 1 + 646 + 6 + 4 = 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 (90164663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21247 + ... + 25134.

Almost surely, 2^90164664 is an apocalyptic number.

It is an amenable number.

90164664 is an abundant number, since it is smaller than the sum of its proper divisors (163081056).

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

90164664 is a wasteful number, since it uses less digits than its factorization.

90164664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46402 (or 46386 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90164664 is about 9495.5075693720. The cubic root of 90164664 is about 448.4136140822.

The spelling of 90164664 in words is "ninety million, one hundred sixty-four thousand, six hundred sixty-four".