82232680 has 64 divisors (see below), whose sum is σ = 191289600. Its totient is φ = 31799040.

The previous prime is 82232671. The next prime is 82232687. The reversal of 82232680 is 8623228.

82232680 = 981² + 982² + ... + 1059².

It is not an unprimeable number, because it can be changed into a prime (82232687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167235 + ... + 167725.

It is an arithmetic number, because the mean of its divisors is an integer number (2988900).

Almost surely, 2^82232680 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 82232680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95644800).

82232680 is an abundant number, since it is smaller than the sum of its proper divisors (109056920).

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

82232680 is a wasteful number, since it uses less digits than its factorization.

82232680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 82232680 is about 9068.2236408240. The cubic root of 82232680 is about 434.8586848849.

The spelling of 82232680 in words is "eighty-two million, two hundred thirty-two thousand, six hundred eighty".