85788768 has 96 divisors (see below), whose sum is σ = 247284576. Its totient is φ = 25878528.

The previous prime is 85788761. The next prime is 85788779. The reversal of 85788768 is 86788758.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85788761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65496 + ... + 66792.

It is an arithmetic number, because the mean of its divisors is an integer number (2575881).

Almost surely, 2^85788768 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 85788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123642288).

85788768 is an abundant number, since it is smaller than the sum of its proper divisors (161495808).

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

85788768 is a wasteful number, since it uses less digits than its factorization.

85788768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 57.

The square root of 85788768 is about 9262.2226274259. Note that the first 3 decimals coincide. The cubic root of 85788768 is about 441.0388127151.

The spelling of 85788768 in words is "eighty-five million, seven hundred eighty-eight thousand, seven hundred sixty-eight".