90808640 has 112 divisors (see below), whose sum is σ = 236573568. Its totient is φ = 32999424.

The previous prime is 90808631. The next prime is 90808649. The reversal of 90808640 is 4680809.

It is an interprime number because it is at equal distance from previous prime (90808631) and next prime (90808649).

It is a self number, because there is not a number n which added to its sum of digits gives 90808640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90808649) 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, 345149 + ... + 345411.

It is an arithmetic number, because the mean of its divisors is an integer number (2112264).

Almost surely, 2^90808640 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 90808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118286784).

90808640 is an abundant number, since it is smaller than the sum of its proper divisors (145764928).

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

90808640 is a wasteful number, since it uses less digits than its factorization.

90808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 90808640 is about 9529.3567463916. The cubic root of 90808640 is about 449.4786389932.

The spelling of 90808640 in words is "ninety million, eight hundred eight thousand, six hundred forty".