85764168 has 48 divisors (see below), whose sum is σ = 265462080. Its totient is φ = 24503904.

The previous prime is 85764163. The next prime is 85764179. The reversal of 85764168 is 86146758.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85764163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84580 + ... + 85587.

It is an arithmetic number, because the mean of its divisors is an integer number (5530460).

Almost surely, 2^85764168 is an apocalyptic number.

It is an amenable number.

85764168 is an abundant number, since it is smaller than the sum of its proper divisors (179697912).

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

85764168 is a wasteful number, since it uses less digits than its factorization.

85764168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170186 (or 170179 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 85764168 is about 9260.8945572229. The cubic root of 85764168 is about 440.9966526039.

It can be divided in two parts, 857 and 64168, that added together give a square (65025 = 255²).

The spelling of 85764168 in words is "eighty-five million, seven hundred sixty-four thousand, one hundred sixty-eight".