82033920 has 108 divisors (see below), whose sum is σ = 283868676. Its totient is φ = 21872640.

The previous prime is 82033909. The next prime is 82033933. The reversal of 82033920 is 2933028.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 69755904 = 3504^2 + 8352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7960 + ... + 15080.

Almost surely, 2^82033920 is an apocalyptic number.

82033920 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 82033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141934338).

82033920 is an abundant number, since it is smaller than the sum of its proper divisors (201834756).

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

82033920 is a wasteful number, since it uses less digits than its factorization.

82033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 82033920 is about 9057.2578631725. The cubic root of 82033920 is about 434.5080447139.

Adding to 82033920 its reverse (2933028), we get a palindrome (84966948).

The spelling of 82033920 in words is "eighty-two million, thirty-three thousand, nine hundred twenty".