82832688 has 60 divisors (see below), whose sum is σ = 233304760. Its totient is φ = 27433728.

The previous prime is 82832657. The next prime is 82832719. The reversal of 82832688 is 88623828.

It is an interprime number because it is at equal distance from previous prime (82832657) and next prime (82832719).

It is a super-2 number, since 2×82832688² = 13722508402610688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21708 + ... + 25236.

Almost surely, 2^82832688 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 82832688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116652380).

82832688 is an abundant number, since it is smaller than the sum of its proper divisors (150472072).

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

82832688 is a wasteful number, since it uses less digits than its factorization.

82832688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3697 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 82832688 is about 9101.2465080339. The cubic root of 82832688 is about 435.9137668584.

The spelling of 82832688 in words is "eighty-two million, eight hundred thirty-two thousand, six hundred eighty-eight".