85610268 has 36 divisors (see below), whose sum is σ = 216936720. Its totient is φ = 28466496.

The previous prime is 85610263. The next prime is 85610279. The reversal of 85610268 is 86201658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85610263) 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 11 ways as a sum of consecutive naturals, for example, 13096 + ... + 18512.

It is an arithmetic number, because the mean of its divisors is an integer number (6026020).

Almost surely, 2^85610268 is an apocalyptic number.

It is an amenable number.

85610268 is an abundant number, since it is smaller than the sum of its proper divisors (131326452).

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

85610268 is a wasteful number, since it uses less digits than its factorization.

85610268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5861 counting only the distinct ones).

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

The square root of 85610268 is about 9252.5816937761. The cubic root of 85610268 is about 440.7327116787.

The spelling of 85610268 in words is "eighty-five million, six hundred ten thousand, two hundred sixty-eight".