85878660 has 96 divisors (see below), whose sum is σ = 278675712. Its totient is φ = 19353600.

The previous prime is 85878623. The next prime is 85878671. The reversal of 85878660 is 6687858.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29260 + ... + 32060.

It is an arithmetic number, because the mean of its divisors is an integer number (2902872).

Almost surely, 2^85878660 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 85878660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139337856).

85878660 is an abundant number, since it is smaller than the sum of its proper divisors (192797052).

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

85878660 is a wasteful number, since it uses less digits than its factorization.

85878660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 85878660 is about 9267.0739718640. The cubic root of 85878660 is about 441.1928034319.

The spelling of 85878660 in words is "eighty-five million, eight hundred seventy-eight thousand, six hundred sixty".