85762656 has 144 divisors (see below), whose sum is σ = 293529600. Its totient is φ = 23203584.

The previous prime is 85762619. The next prime is 85762661. The reversal of 85762656 is 65626758.

85762656 is a `hidden beast` number, since 8 + 576 + 26 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37185 + ... + 39423.

It is an arithmetic number, because the mean of its divisors is an integer number (2038400).

Almost surely, 2^85762656 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 85762656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

85762656 is an abundant number, since it is smaller than the sum of its proper divisors (207766944).

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

85762656 is a wasteful number, since it uses less digits than its factorization.

85762656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2270 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85762656 is about 9260.8129232805. The cubic root of 85762656 is about 440.9940610365.

The spelling of 85762656 in words is "eighty-five million, seven hundred sixty-two thousand, six hundred fifty-six".