80973984 has 288 divisors, whose sum is σ = 283336704. Its totient is φ = 19768320.

The previous prime is 80973967. The next prime is 80974021. The reversal of 80973984 is 48937908.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612049 + ... + 2612079.

It is an arithmetic number, because the mean of its divisors is an integer number (983808).

Almost surely, 2^80973984 is an apocalyptic number.

80973984 is a gapful number since it is divisible by the number (84) 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 80973984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141668352).

80973984 is an abundant number, since it is smaller than the sum of its proper divisors (202362720).

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

80973984 is a wasteful number, since it uses less digits than its factorization.

80973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 80973984 is about 8998.5545505931. The cubic root of 80973984 is about 432.6285432124.

The spelling of 80973984 in words is "eighty million, nine hundred seventy-three thousand, nine hundred eighty-four".