82738656 has 432 divisors, whose sum is σ = 329395248. Its totient is φ = 19353600.

The previous prime is 82738651. The next prime is 82738679. The reversal of 82738656 is 65683728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82738651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2017996 + ... + 2018036.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 2^82738656 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 82738656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

82738656 is an abundant number, since it is smaller than the sum of its proper divisors (246656592).

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

82738656 is a wasteful number, since it uses less digits than its factorization.

82738656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 82738656 is about 9096.0791553284. The cubic root of 82738656 is about 435.7487540488.

The spelling of 82738656 in words is "eighty-two million, seven hundred thirty-eight thousand, six hundred fifty-six".