82253920 has 72 divisors (see below), whose sum is σ = 222908112. Its totient is φ = 28097280.

The previous prime is 82253909. The next prime is 82253929. The reversal of 82253920 is 2935228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82253929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303385 + ... + 303655.

It is an arithmetic number, because the mean of its divisors is an integer number (3095946).

Almost surely, 2^82253920 is an apocalyptic number.

82253920 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 82253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111454056).

82253920 is an abundant number, since it is smaller than the sum of its proper divisors (140654192).

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

82253920 is an equidigital number, since it uses as much as digits as its factorization.

82253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 82253920 is about 9069.3946876294. The cubic root of 82253920 is about 434.8961217585.

The spelling of 82253920 in words is "eighty-two million, two hundred fifty-three thousand, nine hundred twenty".