82332624 has 160 divisors (see below), whose sum is σ = 253555200. Its totient is φ = 22740480.

The previous prime is 82332623. The next prime is 82332629. The reversal of 82332624 is 42623328.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82332591 and 82332600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82332623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290787 + ... + 291069.

It is an arithmetic number, because the mean of its divisors is an integer number (1584720).

Almost surely, 2^82332624 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 82332624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126777600).

82332624 is an abundant number, since it is smaller than the sum of its proper divisors (171222576).

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

82332624 is a wasteful number, since it uses less digits than its factorization.

82332624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 82332624 is about 9073.7326387766. The cubic root of 82332624 is about 435.0347864901.

The spelling of 82332624 in words is "eighty-two million, three hundred thirty-two thousand, six hundred twenty-four".