82034368 has 56 divisors (see below), whose sum is σ = 179464208. Its totient is φ = 36965376.

The previous prime is 82034363. The next prime is 82034369. The reversal of 82034368 is 86343028.

It is not an unprimeable number, because it can be changed into a prime (82034363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34630 + ... + 36922.

It is an arithmetic number, because the mean of its divisors is an integer number (3204718).

Almost surely, 2^82034368 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 82034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89732104).

82034368 is an abundant number, since it is smaller than the sum of its proper divisors (97429840).

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

82034368 is a wasteful number, since it uses less digits than its factorization.

82034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 82034368 is about 9057.2825946859. The cubic root of 82034368 is about 434.5088356845.

The spelling of 82034368 in words is "eighty-two million, thirty-four thousand, three hundred sixty-eight".