82482624 has 140 divisors (see below), whose sum is σ = 279556464. Its totient is φ = 23556096.

The previous prime is 82482593. The next prime is 82482637. The reversal of 82482624 is 42628428.

It is a happy number.

82482624 is a `hidden beast` number, since 8 + 24 + 8 + 2 + 624 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35152 + ... + 37424.

Almost surely, 2^82482624 is an apocalyptic number.

82482624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139778232).

82482624 is an abundant number, since it is smaller than the sum of its proper divisors (197073840).

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

82482624 is a wasteful number, since it uses less digits than its factorization.

82482624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2285 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 82482624 is about 9081.9944946030. The cubic root of 82482624 is about 435.2988196516.

The spelling of 82482624 in words is "eighty-two million, four hundred eighty-two thousand, six hundred twenty-four".