85368000 has 112 divisors (see below), whose sum is σ = 281964384. Its totient is φ = 22758400.

The previous prime is 85367993. The next prime is 85368011. The reversal of 85368000 is 86358.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 22222 + ... + 25778.

Almost surely, 2^85368000 is an apocalyptic number.

85368000 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 85368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140982192).

85368000 is an abundant number, since it is smaller than the sum of its proper divisors (196596384).

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

85368000 is a wasteful number, since it uses less digits than its factorization.

85368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 85368000 is about 9239.4805048769. The cubic root of 85368000 is about 440.3165765787.

The spelling of 85368000 in words is "eighty-five million, three hundred sixty-eight thousand".