82360920 has 128 divisors (see below), whose sum is σ = 267494400. Its totient is φ = 20207616.

The previous prime is 82360913. The next prime is 82360933. The reversal of 82360920 is 2906328.

It is a super-2 number, since 2×82360920² = 13566642286492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 95451 + ... + 96309.

It is an arithmetic number, because the mean of its divisors is an integer number (2089800).

Almost surely, 2^82360920 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 82360920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133747200).

82360920 is an abundant number, since it is smaller than the sum of its proper divisors (185133480).

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

82360920 is a wasteful number, since it uses less digits than its factorization.

82360920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 82360920 is about 9075.2917308481. The cubic root of 82360920 is about 435.0846182327.

The spelling of 82360920 in words is "eighty-two million, three hundred sixty thousand, nine hundred twenty".