82546944 has 72 divisors (see below), whose sum is σ = 231299040. Its totient is φ = 26062848.

The previous prime is 82546939. The next prime is 82546979. The reversal of 82546944 is 44964528.

It is a junction number, because it is equal to n+sod(n) for n = 82546896 and 82546905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11764 + ... + 17420.

Almost surely, 2^82546944 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 82546944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115649520).

82546944 is an abundant number, since it is smaller than the sum of its proper divisors (148752096).

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

82546944 is a wasteful number, since it uses less digits than its factorization.

82546944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5681 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 82546944 is about 9085.5348769349. The cubic root of 82546944 is about 435.4119390140.

The spelling of 82546944 in words is "eighty-two million, five hundred forty-six thousand, nine hundred forty-four".