82640624 has 40 divisors (see below), whose sum is σ = 176439600. Its totient is φ = 37184000.

The previous prime is 82640609. The next prime is 82640641. The reversal of 82640624 is 42604628.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15452 + ... + 20100.

It is an arithmetic number, because the mean of its divisors is an integer number (4410990).

Almost surely, 2^82640624 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 82640624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88219800).

82640624 is an abundant number, since it is smaller than the sum of its proper divisors (93798976).

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

82640624 is a wasteful number, since it uses less digits than its factorization.

82640624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 82640624 is about 9090.6888627870. The cubic root of 82640624 is about 435.5765886383.

The spelling of 82640624 in words is "eighty-two million, six hundred forty thousand, six hundred twenty-four".