83677220 has 72 divisors (see below), whose sum is σ = 200672640. Its totient is φ = 29064640.

The previous prime is 83677219. The next prime is 83677241. The reversal of 83677220 is 2277638.

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, 116021 + ... + 116739.

It is an arithmetic number, because the mean of its divisors is an integer number (2787120).

Almost surely, 2^83677220 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 83677220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100336320).

83677220 is an abundant number, since it is smaller than the sum of its proper divisors (116995420).

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

83677220 is a wasteful number, since it uses less digits than its factorization.

83677220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 83677220 is about 9147.5253484207. The cubic root of 83677220 is about 437.3902331425.

The spelling of 83677220 in words is "eighty-three million, six hundred seventy-seven thousand, two hundred twenty".