80593920 has 352 divisors, whose sum is σ = 318349440. Its totient is φ = 19169280.

The previous prime is 80593901. The next prime is 80593937. The reversal of 80593920 is 2939508.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 1520614 + ... + 1520666.

Almost surely, 2^80593920 is an apocalyptic number.

80593920 is a gapful number since it is divisible by the number (80) 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 80593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159174720).

80593920 is an abundant number, since it is smaller than the sum of its proper divisors (237755520).

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

80593920 is a wasteful number, since it uses less digits than its factorization.

80593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 80593920 is about 8977.4116537006. The cubic root of 80593920 is about 431.9506116378.

The spelling of 80593920 in words is "eighty million, five hundred ninety-three thousand, nine hundred twenty".