82585960 has 16 divisors (see below), whose sum is σ = 185818500. Its totient is φ = 33034368.

The previous prime is 82585957. The next prime is 82585963. The reversal of 82585960 is 6958528.

It is an interprime number because it is at equal distance from previous prime (82585957) and next prime (82585963).

It can be written as a sum of positive squares in 2 ways, for example, as 73307844 + 9278116 = 8562^2 + 3046^2 .

It is not an unprimeable number, because it can be changed into a prime (82585963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1032285 + ... + 1032364.

Almost surely, 2^82585960 is an apocalyptic number.

It is an amenable number.

82585960 is an abundant number, since it is smaller than the sum of its proper divisors (103232540).

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

82585960 is a wasteful number, since it uses less digits than its factorization.

82585960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064660 (or 2064656 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 82585960 is about 9087.6817725975. The cubic root of 82585960 is about 435.4805276885.

The spelling of 82585960 in words is "eighty-two million, five hundred eighty-five thousand, nine hundred sixty".