90646560 has 96 divisors (see below), whose sum is σ = 317278080. Its totient is φ = 24171264.

The previous prime is 90646529. The next prime is 90646561. The reversal of 90646560 is 6564609.

It is a happy number.

90646560 is a `hidden beast` number, since 9 + 0 + 646 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (90646561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6172 + ... + 14811.

It is an arithmetic number, because the mean of its divisors is an integer number (3304980).

Almost surely, 2^90646560 is an apocalyptic number.

90646560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90646560 is an abundant number, since it is smaller than the sum of its proper divisors (226631520).

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

90646560 is a wasteful number, since it uses less digits than its factorization.

90646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21007 (or 20993 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 90646560 is about 9520.8487016652. The cubic root of 90646560 is about 449.2110620905.

The spelling of 90646560 in words is "ninety million, six hundred forty-six thousand, five hundred sixty".