82125360 has 160 divisors (see below), whose sum is σ = 285785280. Its totient is φ = 21676032.

The previous prime is 82125359. The next prime is 82125371. The reversal of 82125360 is 6352128.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416782 + ... + 416978.

It is an arithmetic number, because the mean of its divisors is an integer number (1786158).

Almost surely, 2^82125360 is an apocalyptic number.

82125360 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 82125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142892640).

82125360 is an abundant number, since it is smaller than the sum of its proper divisors (203659920).

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

82125360 is a wasteful number, since it uses less digits than its factorization.

82125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82125360 is about 9062.3043427155. The cubic root of 82125360 is about 434.6694278035.

Adding to 82125360 its reverse (6352128), we get a palindrome (88477488).

The spelling of 82125360 in words is "eighty-two million, one hundred twenty-five thousand, three hundred sixty".