83260656 has 80 divisors (see below), whose sum is σ = 245495200. Its totient is φ = 26998272.

The previous prime is 83260651. The next prime is 83260673. The reversal of 83260656 is 65606238.

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 83260656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83260651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13380 + ... + 18588.

It is an arithmetic number, because the mean of its divisors is an integer number (3068690).

Almost surely, 2^83260656 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 83260656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122747600).

83260656 is an abundant number, since it is smaller than the sum of its proper divisors (162234544).

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

83260656 is a wasteful number, since it uses less digits than its factorization.

83260656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5251 counting only the distinct ones).

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

The square root of 83260656 is about 9124.7277219652. The cubic root of 83260656 is about 436.6632164390.

The spelling of 83260656 in words is "eighty-three million, two hundred sixty thousand, six hundred fifty-six".