82869160 has 64 divisors (see below), whose sum is σ = 204379200. Its totient is φ = 29990400.

The previous prime is 82869119. The next prime is 82869167. The reversal of 82869160 is 6196828.

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (82869167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145356 + ... + 145924.

It is an arithmetic number, because the mean of its divisors is an integer number (3193425).

Almost surely, 2^82869160 is an apocalyptic number.

82869160 is the 4552-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82869160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102189600).

82869160 is an abundant number, since it is smaller than the sum of its proper divisors (121510040).

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

82869160 is a wasteful number, since it uses less digits than its factorization.

82869160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 82869160 is about 9103.2499691044. The cubic root of 82869160 is about 435.9777364273.

The spelling of 82869160 in words is "eighty-two million, eight hundred sixty-nine thousand, one hundred sixty".