82626180 has 192 divisors, whose sum is σ = 293153280. Its totient is φ = 16920576.

The previous prime is 82626163. The next prime is 82626199. The reversal of 82626180 is 8162628.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201816 + ... + 202224.

It is an arithmetic number, because the mean of its divisors is an integer number (1526840).

Almost surely, 2^82626180 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 82626180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146576640).

82626180 is an abundant number, since it is smaller than the sum of its proper divisors (210527100).

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

82626180 is a wasteful number, since it uses less digits than its factorization.

82626180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82626180 is about 9089.8943888254. The cubic root of 82626180 is about 435.5512103416.

The spelling of 82626180 in words is "eighty-two million, six hundred twenty-six thousand, one hundred eighty".