82981560 has 64 divisors (see below), whose sum is σ = 251546400. Its totient is φ = 21897216.

The previous prime is 82981559. The next prime is 82981567. The reversal of 82981560 is 6518928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82981567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8076 + ... + 15204.

Almost surely, 2^82981560 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 82981560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125773200).

82981560 is an abundant number, since it is smaller than the sum of its proper divisors (168564840).

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

82981560 is a wasteful number, since it uses less digits than its factorization.

82981560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 82981560 is about 9109.4214964508. The cubic root of 82981560 is about 436.1747609042.

The spelling of 82981560 in words is "eighty-two million, nine hundred eighty-one thousand, five hundred sixty".