83206656 has 160 divisors (see below), whose sum is σ = 265816320. Its totient is φ = 25546752.

The previous prime is 83206649. The next prime is 83206679. The reversal of 83206656 is 65660238.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83206656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179481 + ... + 179943.

It is an arithmetic number, because the mean of its divisors is an integer number (1661352).

Almost surely, 2^83206656 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 83206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132908160).

83206656 is an abundant number, since it is smaller than the sum of its proper divisors (182609664).

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

83206656 is a wasteful number, since it uses less digits than its factorization.

83206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83206656 is about 9121.7682496323. The cubic root of 83206656 is about 436.5687944381.

The spelling of 83206656 in words is "eighty-three million, two hundred six thousand, six hundred fifty-six".