85193768 has 16 divisors (see below), whose sum is σ = 174260160. Its totient is φ = 38724400.

The previous prime is 85193767. The next prime is 85193791. The reversal of 85193768 is 86739158.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85193761) 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, 483968 + ... + 484143.

It is an arithmetic number, because the mean of its divisors is an integer number (10891260).

Almost surely, 2^85193768 is an apocalyptic number.

85193768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85193768 is an abundant number, since it is smaller than the sum of its proper divisors (89066392).

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

85193768 is a wasteful number, since it uses less digits than its factorization.

85193768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968128 (or 968124 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 85193768 is about 9230.0470204653. The cubic root of 85193768 is about 440.0168175390.

The spelling of 85193768 in words is "eighty-five million, one hundred ninety-three thousand, seven hundred sixty-eight".