85368060 has 96 divisors (see below), whose sum is σ = 267624000. Its totient is φ = 22590720.

The previous prime is 85368053. The next prime is 85368071. The reversal of 85368060 is 6086358.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79930 + ... + 80990.

It is an arithmetic number, because the mean of its divisors is an integer number (2787750).

Almost surely, 2^85368060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85368060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133812000).

85368060 is an abundant number, since it is smaller than the sum of its proper divisors (182255940).

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

85368060 is a wasteful number, since it uses less digits than its factorization.

85368060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85368060 is about 9239.4837518121. The cubic root of 85368060 is about 440.3166797360.

The spelling of 85368060 in words is "eighty-five million, three hundred sixty-eight thousand, sixty".