82536960 has 160 divisors (see below), whose sum is σ = 288142272. Its totient is φ = 19988480.

The previous prime is 82536959. The next prime is 82536967. The reversal of 82536960 is 6963528.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (82536967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83992 + ... + 84968.

Almost surely, 2^82536960 is an apocalyptic number.

82536960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144071136).

82536960 is an abundant number, since it is smaller than the sum of its proper divisors (205605312).

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

82536960 is a wasteful number, since it uses less digits than its factorization.

82536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 82536960 is about 9084.9854155084. The cubic root of 82536960 is about 435.3943840412.

The spelling of 82536960 in words is "eighty-two million, five hundred thirty-six thousand, nine hundred sixty".