82624320 has 224 divisors, whose sum is σ = 297728640. Its totient is φ = 21565440.

The previous prime is 82624319. The next prime is 82624337. The reversal of 82624320 is 2342628.

82624320 is a `hidden beast` number, since 8 + 2 + 624 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630655 + ... + 630785.

Almost surely, 2^82624320 is an apocalyptic number.

82624320 is a gapful number since it is divisible by the number (80) 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 82624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148864320).

82624320 is an abundant number, since it is smaller than the sum of its proper divisors (215104320).

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

82624320 is a wasteful number, since it uses less digits than its factorization.

82624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82624320 is about 9089.7920768299. The cubic root of 82624320 is about 435.5479420824.

Adding to 82624320 its reverse (2342628), we get a palindrome (84966948).

It can be divided in two parts, 82624 and 320, that added together give a square (82944 = 288²).

The spelling of 82624320 in words is "eighty-two million, six hundred twenty-four thousand, three hundred twenty".