82013920 has 48 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 32664064.

The previous prime is 82013917. The next prime is 82013927. The reversal of 82013920 is 2931028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82013927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41106 + ... + 43054.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^82013920 is an apocalyptic number.

82013920 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 82013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97297200).

82013920 is an abundant number, since it is smaller than the sum of its proper divisors (112580480).

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

82013920 is a wasteful number, since it uses less digits than its factorization.

82013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 82013920 is about 9056.1537089429. The cubic root of 82013920 is about 434.4727305934.

Adding to 82013920 its reverse (2931028), we get a palindrome (84944948).

It can be divided in two parts, 8201 and 3920, that added together give a palindrome (12121).

The spelling of 82013920 in words is "eighty-two million, thirteen thousand, nine hundred twenty".