82417368 has 64 divisors (see below), whose sum is σ = 227992320. Its totient is φ = 24617600.

The previous prime is 82417351. The next prime is 82417393. The reversal of 82417368 is 86371428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16546 + ... + 20942.

It is an arithmetic number, because the mean of its divisors is an integer number (3562380).

Almost surely, 2^82417368 is an apocalyptic number.

82417368 is a gapful number since it is divisible by the number (88) 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 82417368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113996160).

82417368 is an abundant number, since it is smaller than the sum of its proper divisors (145574952).

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

82417368 is a wasteful number, since it uses less digits than its factorization.

82417368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4484 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 82417368 is about 9078.4011808247. The cubic root of 82417368 is about 435.1839940363.

The spelling of 82417368 in words is "eighty-two million, four hundred seventeen thousand, three hundred sixty-eight".