90215664 has 180 divisors, whose sum is σ = 298933992. Its totient is φ = 23358720.

The previous prime is 90215641. The next prime is 90215687. The reversal of 90215664 is 46651209.

It is an interprime number because it is at equal distance from previous prime (90215641) and next prime (90215687).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 284434 + ... + 284750.

Almost surely, 2^90215664 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 90215664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149466996).

90215664 is an abundant number, since it is smaller than the sum of its proper divisors (208718328).

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

90215664 is a wasteful number, since it uses less digits than its factorization.

90215664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 90215664 is about 9498.1926701873. The cubic root of 90215664 is about 448.4981438112.

The spelling of 90215664 in words is "ninety million, two hundred fifteen thousand, six hundred sixty-four".