82014120 has 160 divisors (see below), whose sum is σ = 292069800. Its totient is φ = 20570112.

The previous prime is 82014083. The next prime is 82014133. The reversal of 82014120 is 2141028.

It can be written as a sum of positive squares in 4 ways, for example, as 65318724 + 16695396 = 8082^2 + 4086^2 .

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 = 82014093 and 82014102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54336 + ... + 55824.

Almost surely, 2^82014120 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 82014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146034900).

82014120 is an abundant number, since it is smaller than the sum of its proper divisors (210055680).

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

82014120 is a wasteful number, since it uses less digits than its factorization.

82014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1516 counting only the distinct ones).

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

The square root of 82014120 is about 9056.1647511516. The cubic root of 82014120 is about 434.4730837630.

Adding to 82014120 its reverse (2141028), we get a palindrome (84155148).

It can be divided in two parts, 8201 and 4120, that added together give a palindrome (12321).

The spelling of 82014120 in words is "eighty-two million, fourteen thousand, one hundred twenty".