83499984 has 100 divisors (see below), whose sum is σ = 254467840. Its totient is φ = 26360640.

The previous prime is 83499973. The next prime is 83499989. The reversal of 83499984 is 48999438.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 83499984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83499989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22929 + ... + 26319.

Almost surely, 2^83499984 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 83499984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127233920).

83499984 is an abundant number, since it is smaller than the sum of its proper divisors (170967856).

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

83499984 is a wasteful number, since it uses less digits than its factorization.

83499984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3415 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 83499984 is about 9137.8325657674. The cubic root of 83499984 is about 437.0812040254.

The spelling of 83499984 in words is "eighty-three million, four hundred ninety-nine thousand, nine hundred eighty-four".