85253168 has 80 divisors (see below), whose sum is σ = 221819136. Its totient is φ = 30654720.

The previous prime is 85253167. The next prime is 85253183. The reversal of 85253168 is 86135258.

It is not an unprimeable number, because it can be changed into a prime (85253167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13355 + ... + 18677.

Almost surely, 2^85253168 is an apocalyptic number.

85253168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85253168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110909568).

85253168 is an abundant number, since it is smaller than the sum of its proper divisors (136565968).

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

85253168 is a wasteful number, since it uses less digits than its factorization.

85253168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5356 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 85253168 is about 9233.2642115343. The cubic root of 85253168 is about 440.1190586903.

The spelling of 85253168 in words is "eighty-five million, two hundred fifty-three thousand, one hundred sixty-eight".