82723644 has 36 divisors (see below), whose sum is σ = 220114440. Its totient is φ = 26123040.

The previous prime is 82723633. The next prime is 82723657. The reversal of 82723644 is 44632728.

82723644 is a `hidden beast` number, since 8 + 2 + 7 + 2 + 3 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 82723599 and 82723608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59787 + ... + 61154.

It is an arithmetic number, because the mean of its divisors is an integer number (6114290).

Almost surely, 2^82723644 is an apocalyptic number.

It is an amenable number.

82723644 is an abundant number, since it is smaller than the sum of its proper divisors (137390796).

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

82723644 is a wasteful number, since it uses less digits than its factorization.

82723644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120970 (or 120965 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 82723644 is about 9095.2539271864. The cubic root of 82723644 is about 435.7223985487.

The spelling of 82723644 in words is "eighty-two million, seven hundred twenty-three thousand, six hundred forty-four".