82681560 has 240 divisors, whose sum is σ = 302916240. Its totient is φ = 20217600.

The previous prime is 82681553. The next prime is 82681579. The reversal of 82681560 is 6518628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547485 + ... + 547635.

It is an arithmetic number, because the mean of its divisors is an integer number (1262151).

Almost surely, 2^82681560 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 82681560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151458120).

82681560 is an abundant number, since it is smaller than the sum of its proper divisors (220234680).

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

82681560 is a wasteful number, since it uses less digits than its factorization.

82681560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82681560 is about 9092.9401185755. The cubic root of 82681560 is about 435.6484976625.

The spelling of 82681560 in words is "eighty-two million, six hundred eighty-one thousand, five hundred sixty".