82414368 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 24883200.

The previous prime is 82414363. The next prime is 82414369. The reversal of 82414368 is 86341428.

It is a super-3 number, since 3×82414368³ (a number of 25 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (82414363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455238 + ... + 455418.

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

Almost surely, 2^82414368 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 82414368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

82414368 is an abundant number, since it is smaller than the sum of its proper divisors (181762272).

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

82414368 is a wasteful number, since it uses less digits than its factorization.

82414368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 82414368 is about 9078.2359519898. The cubic root of 82414368 is about 435.1787137260.

The spelling of 82414368 in words is "eighty-two million, four hundred fourteen thousand, three hundred sixty-eight".