91680024 has 64 divisors (see below), whose sum is σ = 240387840. Its totient is φ = 29082240.

The previous prime is 91680013. The next prime is 91680037. The reversal of 91680024 is 42008619.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 91679973 and 91680000.

It is a congruent number.

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, 169194 + ... + 169734.

It is an arithmetic number, because the mean of its divisors is an integer number (3756060).

Almost surely, 2^91680024 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 91680024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120193920).

91680024 is an abundant number, since it is smaller than the sum of its proper divisors (148707816).

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

91680024 is a wasteful number, since it uses less digits than its factorization.

91680024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 91680024 is about 9574.9686161366. The cubic root of 91680024 is about 450.9117711130.

The spelling of 91680024 in words is "ninety-one million, six hundred eighty thousand, twenty-four".