82521180 has 240 divisors, whose sum is σ = 312238080. Its totient is φ = 17822592.

The previous prime is 82521169. The next prime is 82521181. The reversal of 82521180 is 8112528.

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 (82521181) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215269 + ... + 215651.

It is an arithmetic number, because the mean of its divisors is an integer number (1300992).

Almost surely, 2^82521180 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 82521180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156119040).

82521180 is an abundant number, since it is smaller than the sum of its proper divisors (229716900).

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

82521180 is a wasteful number, since it uses less digits than its factorization.

82521180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

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

The square root of 82521180 is about 9084.1169080984. The cubic root of 82521180 is about 435.3666350130.

The spelling of 82521180 in words is "eighty-two million, five hundred twenty-one thousand, one hundred eighty".