90667564 has 72 divisors (see below), whose sum is σ = 186998112. Its totient is φ = 38142720.

The previous prime is 90667561. The next prime is 90667571. The reversal of 90667564 is 46576609.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 90667564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90667561) 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, 2108527 + ... + 2108569.

It is an arithmetic number, because the mean of its divisors is an integer number (2597196).

Almost surely, 2^90667564 is an apocalyptic number.

It is an amenable number.

90667564 is an abundant number, since it is smaller than the sum of its proper divisors (96330548).

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

90667564 is a wasteful number, since it uses less digits than its factorization.

90667564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 90667564 is about 9521.9516906987. The cubic root of 90667564 is about 449.2457554478.

The spelling of 90667564 in words is "ninety million, six hundred sixty-seven thousand, five hundred sixty-four".