85783968 has 96 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 27917568.

The previous prime is 85783939. The next prime is 85783991. The reversal of 85783968 is 86938758.

It is a happy number.

85783968 is a `hidden beast` number, since 8 + 578 + 3 + 9 + 68 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35998 + ... + 38306.

It is an arithmetic number, because the mean of its divisors is an integer number (2668050).

Almost surely, 2^85783968 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 85783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

85783968 is an abundant number, since it is smaller than the sum of its proper divisors (170348832).

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

85783968 is a wasteful number, since it uses less digits than its factorization.

85783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2357 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 85783968 is about 9261.9635067301. The cubic root of 85783968 is about 441.0305869849.

The spelling of 85783968 in words is "eighty-five million, seven hundred eighty-three thousand, nine hundred sixty-eight".