82501888 has 54 divisors (see below), whose sum is σ = 191597406. Its totient is φ = 35352576.

The previous prime is 82501871. The next prime is 82501889. The reversal of 82501888 is 88810528.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 200704 = 9072^2 + 448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82501888.

It is not an unprimeable number, because it can be changed into a prime (82501889) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9256 + ... + 15832.

Almost surely, 2^82501888 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 82501888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95798703).

82501888 is an abundant number, since it is smaller than the sum of its proper divisors (109095518).

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

82501888 is an equidigital number, since it uses as much as digits as its factorization.

82501888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The square root of 82501888 is about 9083.0549926773. The cubic root of 82501888 is about 435.3327053490.

The spelling of 82501888 in words is "eighty-two million, five hundred one thousand, eight hundred eighty-eight".