83976984 has 144 divisors (see below), whose sum is σ = 285077520. Its totient is φ = 22135680.

The previous prime is 83976973. The next prime is 83977007. The reversal of 83976984 is 48967938.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83976984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44949 + ... + 46779.

It is an arithmetic number, because the mean of its divisors is an integer number (1979705).

Almost surely, 2^83976984 is an apocalyptic number.

83976984 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 83976984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142538760).

83976984 is an abundant number, since it is smaller than the sum of its proper divisors (201100536).

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

83976984 is a wasteful number, since it uses less digits than its factorization.

83976984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1856 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 83976984 is about 9163.8956781491. The cubic root of 83976984 is about 437.9119107268.

The spelling of 83976984 in words is "eighty-three million, nine hundred seventy-six thousand, nine hundred eighty-four".