90458640 has 80 divisors (see below), whose sum is σ = 311587200. Its totient is φ = 24121728.

The previous prime is 90458633. The next prime is 90458663. The reversal of 90458640 is 4685409.

90458640 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90458595 and 90458604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18780 + ... + 23099.

It is an arithmetic number, because the mean of its divisors is an integer number (3894840).

Almost surely, 2^90458640 is an apocalyptic number.

90458640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90458640 is an abundant number, since it is smaller than the sum of its proper divisors (221128560).

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

90458640 is a wasteful number, since it uses less digits than its factorization.

90458640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41901 (or 41889 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90458640 is about 9510.9747134560. The cubic root of 90458640 is about 448.9004264953.

The spelling of 90458640 in words is "ninety million, four hundred fifty-eight thousand, six hundred forty".