83724984 has 96 divisors (see below), whose sum is σ = 260507520. Its totient is φ = 23796288.

The previous prime is 83724967. The next prime is 83724997. The reversal of 83724984 is 48942738.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142339 + ... + 142925.

It is an arithmetic number, because the mean of its divisors is an integer number (2713620).

Almost surely, 2^83724984 is an apocalyptic number.

83724984 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 83724984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130253760).

83724984 is an abundant number, since it is smaller than the sum of its proper divisors (176782536).

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

83724984 is a wasteful number, since it uses less digits than its factorization.

83724984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83724984 is about 9150.1357366981. The cubic root of 83724984 is about 437.4734399114.

The spelling of 83724984 in words is "eighty-three million, seven hundred twenty-four thousand, nine hundred eighty-four".