82376424 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 22947840.

The previous prime is 82376387. The next prime is 82376431. The reversal of 82376424 is 42467328.

82376424 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 642 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493189 + ... + 493355.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^82376424 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 82376424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

82376424 is an abundant number, since it is smaller than the sum of its proper divisors (181800216).

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

82376424 is a wasteful number, since it uses less digits than its factorization.

82376424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

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

The square root of 82376424 is about 9076.1458780696. The cubic root of 82376424 is about 435.1119172992. Note that the first 3 decimals are identical.

The spelling of 82376424 in words is "eighty-two million, three hundred seventy-six thousand, four hundred twenty-four".