83979000 has 384 divisors, whose sum is σ = 342650880. Its totient is φ = 18144000.

The previous prime is 83978953. The next prime is 83979017. The reversal of 83979000 is 97938.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952979 + ... + 1953021.

It is an arithmetic number, because the mean of its divisors is an integer number (892320).

Almost surely, 2^83979000 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 83979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171325440).

83979000 is an abundant number, since it is smaller than the sum of its proper divisors (258671880).

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

83979000 is a wasteful number, since it uses less digits than its factorization.

83979000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 83979000 is about 9164.0056743762. The cubic root of 83979000 is about 437.9154149542.

The spelling of 83979000 in words is "eighty-three million, nine hundred seventy-nine thousand".