82320420 has 96 divisors (see below), whose sum is σ = 283707648. Its totient is φ = 17367552.

The previous prime is 82320419. The next prime is 82320437. The reversal of 82320420 is 2402328.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (2955288).

Almost surely, 2^82320420 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 82320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141853824).

82320420 is an abundant number, since it is smaller than the sum of its proper divisors (201387228).

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

82320420 is a wasteful number, since it uses less digits than its factorization.

82320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15109 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 82320420 is about 9073.0601232440. The cubic root of 82320420 is about 435.0132906495.

Adding to 82320420 its reverse (2402328), we get a palindrome (84722748).

It can be divided in two parts, 82320 and 420, that multiplied together give a square (34574400 = 5880²).

The spelling of 82320420 in words is "eighty-two million, three hundred twenty thousand, four hundred twenty".