90808560 has 160 divisors (see below), whose sum is σ = 331318080. Its totient is φ = 22781952.

The previous prime is 90808507. The next prime is 90808567. The reversal of 90808560 is 6580809.

90808560 is a `hidden beast` number, since 90 + 8 + 0 + 8 + 560 = 666.

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 (90808567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35484 + ... + 37956.

It is an arithmetic number, because the mean of its divisors is an integer number (2070738).

Almost surely, 2^90808560 is an apocalyptic number.

90808560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90808560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165659040).

90808560 is an abundant number, since it is smaller than the sum of its proper divisors (240509520).

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

90808560 is a wasteful number, since it uses less digits than its factorization.

90808560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 90808560 is about 9529.3525488356. The cubic root of 90808560 is about 449.4785070002.

The spelling of 90808560 in words is "ninety million, eight hundred eight thousand, five hundred sixty".