82839960 has 192 divisors, whose sum is σ = 312698880. Its totient is φ = 18627840.

The previous prime is 82839937. The next prime is 82839971. The reversal of 82839960 is 6993828.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178689 + ... + 179151.

It is an arithmetic number, because the mean of its divisors is an integer number (1628640).

Almost surely, 2^82839960 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 82839960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156349440).

82839960 is an abundant number, since it is smaller than the sum of its proper divisors (229858920).

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

82839960 is a wasteful number, since it uses less digits than its factorization.

82839960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 82839960 is about 9101.6460049817. The cubic root of 82839960 is about 435.9265229825.

The spelling of 82839960 in words is "eighty-two million, eight hundred thirty-nine thousand, nine hundred sixty".