83734656 has 128 divisors (see below), whose sum is σ = 239708160. Its totient is φ = 25804800.

The previous prime is 83734643. The next prime is 83734667. The reversal of 83734656 is 65643738.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×83734656² = 14022985230876672, which contains 22 as substring.

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, 659265 + ... + 659391.

It is an arithmetic number, because the mean of its divisors is an integer number (1872720).

Almost surely, 2^83734656 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 83734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119854080).

83734656 is an abundant number, since it is smaller than the sum of its proper divisors (155973504).

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

83734656 is a wasteful number, since it uses less digits than its factorization.

83734656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 83734656 is about 9150.6642381851. The cubic root of 83734656 is about 437.4902850632.

The spelling of 83734656 in words is "eighty-three million, seven hundred thirty-four thousand, six hundred fifty-six".