90607680 has 112 divisors (see below), whose sum is σ = 319674240. Its totient is φ = 24159744.

The previous prime is 90607679. The next prime is 90607691. The reversal of 90607680 is 8670609.

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

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, 3397 + ... + 13883.

Almost surely, 2^90607680 is an apocalyptic number.

90607680 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 90607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159837120).

90607680 is an abundant number, since it is smaller than the sum of its proper divisors (229066560).

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

90607680 is a wasteful number, since it uses less digits than its factorization.

90607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90607680 is about 9518.8066478945. The cubic root of 90607680 is about 449.1468279053.

The spelling of 90607680 in words is "ninety million, six hundred seven thousand, six hundred eighty".