82525600 has 72 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 32229120.

The previous prime is 82525589. The next prime is 82525609. The reversal of 82525600 is 652528.

It is not an unprimeable number, because it can be changed into a prime (82525609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33201 + ... + 35599.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2^82525600 is an apocalyptic number.

82525600 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 82525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

82525600 is an abundant number, since it is smaller than the sum of its proper divisors (123711200).

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

82525600 is a wasteful number, since it uses less digits than its factorization.

82525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 82525600 is about 9084.3601866064. The cubic root of 82525600 is about 435.3744079111.

The spelling of 82525600 in words is "eighty-two million, five hundred twenty-five thousand, six hundred".