82228680 has 96 divisors (see below), whose sum is σ = 278890560. Its totient is φ = 20972160.

The previous prime is 82228661. The next prime is 82228687. The reversal of 82228680 is 8682228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82228687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3315 + ... + 13245.

It is an arithmetic number, because the mean of its divisors is an integer number (2905110).

Almost surely, 2^82228680 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 82228680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139445280).

82228680 is an abundant number, since it is smaller than the sum of its proper divisors (196661880).

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

82228680 is a wasteful number, since it uses less digits than its factorization.

82228680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82228680 is about 9068.0030877807. The cubic root of 82228680 is about 434.8516339049.

The spelling of 82228680 in words is "eighty-two million, two hundred twenty-eight thousand, six hundred eighty".