85878860 has 48 divisors (see below), whose sum is σ = 196408800. Its totient is φ = 31417344.

The previous prime is 85878857. The next prime is 85878913. The reversal of 85878860 is 6887858.

It is a junction number, because it is equal to n+sod(n) for n = 85878799 and 85878808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7124 + ... + 14916.

It is an arithmetic number, because the mean of its divisors is an integer number (4091850).

Almost surely, 2^85878860 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 85878860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98204400).

85878860 is an abundant number, since it is smaller than the sum of its proper divisors (110529940).

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

85878860 is a wasteful number, since it uses less digits than its factorization.

85878860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 50.

The square root of 85878860 is about 9267.0847627504. The cubic root of 85878860 is about 441.1931459248.

The spelling of 85878860 in words is "eighty-five million, eight hundred seventy-eight thousand, eight hundred sixty".