85004568 has 96 divisors (see below), whose sum is σ = 259880400. Its totient is φ = 24864000.

The previous prime is 85004567. The next prime is 85004581. The reversal of 85004568 is 86540058.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85004567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21118 + ... + 24818.

Almost surely, 2^85004568 is an apocalyptic number.

85004568 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 85004568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129940200).

85004568 is an abundant number, since it is smaller than the sum of its proper divisors (174875832).

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

85004568 is a wasteful number, since it uses less digits than its factorization.

85004568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85004568 is about 9219.7921885474. The cubic root of 85004568 is about 439.6908434347.

The spelling of 85004568 in words is "eighty-five million, four thousand, five hundred sixty-eight".