85685880 has 128 divisors (see below), whose sum is σ = 297561600. Its totient is φ = 19333632.

The previous prime is 85685861. The next prime is 85685893. The reversal of 85685880 is 8858658.

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, 69106 + ... + 70334.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^85685880 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 85685880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

85685880 is an abundant number, since it is smaller than the sum of its proper divisors (211875720).

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

85685880 is a wasteful number, since it uses less digits than its factorization.

85685880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The square root of 85685880 is about 9256.6667867003. Note that the first 3 decimals coincide. The cubic root of 85685880 is about 440.8624269432.

It can be divided in two parts, 856 and 85880, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 85685880 in words is "eighty-five million, six hundred eighty-five thousand, eight hundred eighty".