82506960 has 60 divisors (see below), whose sum is σ = 277088292. Its totient is φ = 22001664.

The previous prime is 82506937. The next prime is 82506971. The reversal of 82506960 is 6960528.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 23155344 = 7704^2 + 4812^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 56577 + ... + 58016.

Almost surely, 2^82506960 is an apocalyptic number.

82506960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82506960 is an abundant number, since it is smaller than the sum of its proper divisors (194581332).

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

82506960 is a wasteful number, since it uses less digits than its factorization.

82506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114612 (or 114603 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 82506960 is about 9083.3341896024. The cubic root of 82506960 is about 435.3416262044.

The spelling of 82506960 in words is "eighty-two million, five hundred six thousand, nine hundred sixty".