90796680 has 256 divisors, whose sum is σ = 338688000. Its totient is φ = 21482496.

The previous prime is 90796639. The next prime is 90796703. The reversal of 90796680 is 8669709.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407049 + ... + 407271.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^90796680 is an apocalyptic number.

90796680 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 90796680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

90796680 is an abundant number, since it is smaller than the sum of its proper divisors (247891320).

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

90796680 is a wasteful number, since it uses less digits than its factorization.

90796680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 90796680 is about 9528.7291912406. The cubic root of 90796680 is about 449.4589051861.

The spelling of 90796680 in words is "ninety million, seven hundred ninety-six thousand, six hundred eighty".