85168720 has 80 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 26952192.

The previous prime is 85168717. The next prime is 85168729. The reversal of 85168720 is 2786158.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 85168720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85168729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431 + ... + 13129.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^85168720 is an apocalyptic number.

85168720 is a gapful number since it is divisible by the number (80) 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 85168720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

85168720 is an abundant number, since it is smaller than the sum of its proper divisors (158565680).

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

85168720 is a wasteful number, since it uses less digits than its factorization.

85168720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 85168720 is about 9228.6900478887. The cubic root of 85168720 is about 439.9736898869.

The spelling of 85168720 in words is "eighty-five million, one hundred sixty-eight thousand, seven hundred twenty".