82332020 has 48 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 30681600.

The previous prime is 82332017. The next prime is 82332043. The reversal of 82332020 is 2023328.

82332020 = 230² + 231² + ... + 637².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 82331983 and 82332001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33845 + ... + 36195.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^82332020 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 82332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

82332020 is an abundant number, since it is smaller than the sum of its proper divisors (102591628).

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

82332020 is a wasteful number, since it uses less digits than its factorization.

82332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 82332020 is about 9073.6993558306. The cubic root of 82332020 is about 435.0337226686.

Adding to 82332020 its reverse (2023328), we get a palindrome (84355348).

The spelling of 82332020 in words is "eighty-two million, three hundred thirty-two thousand, twenty".