82140120 has 96 divisors (see below), whose sum is σ = 270270000. Its totient is φ = 21632256.

The previous prime is 82140109. The next prime is 82140127. The reversal of 82140120 is 2104128.

It is a super-2 number, since 2×82140120² = 13493998627228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 82140093 and 82140102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82140127) 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, 28506 + ... + 31254.

Almost surely, 2^82140120 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 82140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135135000).

82140120 is an abundant number, since it is smaller than the sum of its proper divisors (188129880).

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

82140120 is a wasteful number, since it uses less digits than its factorization.

82140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82140120 is about 9063.1186685379. The cubic root of 82140120 is about 434.6954665993.

Adding to 82140120 its reverse (2104128), we get a palindrome (84244248).

The spelling of 82140120 in words is "eighty-two million, one hundred forty thousand, one hundred twenty".