85368880 has 40 divisors (see below), whose sum is σ = 200357712. Its totient is φ = 33825024.

The previous prime is 85368869. The next prime is 85368911. The reversal of 85368880 is 8886358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 85368880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3574 + ... + 13546.

Almost surely, 2^85368880 is an apocalyptic number.

85368880 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 85368880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100178856).

85368880 is an abundant number, since it is smaller than the sum of its proper divisors (114988832).

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

85368880 is a wasteful number, since it uses less digits than its factorization.

85368880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 85368880 is about 9239.5281264792. The cubic root of 85368880 is about 440.3180895471.

The spelling of 85368880 in words is "eighty-five million, three hundred sixty-eight thousand, eight hundred eighty".