82365920 has 96 divisors (see below), whose sum is σ = 239537088. Its totient is φ = 26062848.

The previous prime is 82365919. The next prime is 82365961. The reversal of 82365920 is 2956328.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11732 + ... + 17388.

It is an arithmetic number, because the mean of its divisors is an integer number (2495178).

Almost surely, 2^82365920 is an apocalyptic number.

82365920 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 82365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119768544).

82365920 is an abundant number, since it is smaller than the sum of its proper divisors (157171168).

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

82365920 is a wasteful number, since it uses less digits than its factorization.

82365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 82365920 is about 9075.5671999055. The cubic root of 82365920 is about 435.0934224855.

The spelling of 82365920 in words is "eighty-two million, three hundred sixty-five thousand, nine hundred twenty".