82169360 has 80 divisors (see below), whose sum is σ = 235151616. Its totient is φ = 26002944.

The previous prime is 82169309. The next prime is 82169369. The reversal of 82169360 is 6396128.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 82169360.

It is not an unprimeable number, because it can be changed into a prime (82169369) 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, 1637 + ... + 12923.

Almost surely, 2^82169360 is an apocalyptic number.

82169360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82169360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117575808).

82169360 is an abundant number, since it is smaller than the sum of its proper divisors (152982256).

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

82169360 is a wasteful number, since it uses less digits than its factorization.

82169360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320 (or 11314 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 82169360 is about 9064.7316562599. The cubic root of 82169360 is about 434.7470410209.

It can be divided in two parts, 8216 and 9360, that added together give a cube (17576 = 26³).

The spelling of 82169360 in words is "eighty-two million, one hundred sixty-nine thousand, three hundred sixty".