90465680 has 40 divisors (see below), whose sum is σ = 215470584. Its totient is φ = 35302400.

The previous prime is 90465677. The next prime is 90465689. The reversal of 90465680 is 8656409.

It can be written as a sum of positive squares in 4 ways, for example, as 13868176 + 76597504 = 3724^2 + 8752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90465689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10511 + ... + 17070.

Almost surely, 2^90465680 is an apocalyptic number.

It is an amenable number.

90465680 is an abundant number, since it is smaller than the sum of its proper divisors (125004904).

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

90465680 is a wasteful number, since it uses less digits than its factorization.

90465680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27635 (or 27629 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 90465680 is about 9511.3448050210. The cubic root of 90465680 is about 448.9120715116.

The spelling of 90465680 in words is "ninety million, four hundred sixty-five thousand, six hundred eighty".