82581120 has 256 divisors, whose sum is σ = 301104000. Its totient is φ = 21648384.

The previous prime is 82581101. The next prime is 82581127. The reversal of 82581120 is 2118528.

82581120 is a `hidden beast` number, since 82 + 581 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82581127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399651 + ... + 1399709.

Almost surely, 2^82581120 is an apocalyptic number.

82581120 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 82581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150552000).

82581120 is an abundant number, since it is smaller than the sum of its proper divisors (218522880).

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

82581120 is an frugal number, since it uses more digits than its factorization.

82581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 82581120 is about 9087.4154741599. The cubic root of 82581120 is about 435.4720203227.

Adding to 82581120 its reverse (2118528), we get a palindrome (84699648).

The spelling of 82581120 in words is "eighty-two million, five hundred eighty-one thousand, one hundred twenty".