85811880 has 256 divisors, whose sum is σ = 330946560. Its totient is φ = 17280000.

The previous prime is 85811867. The next prime is 85811909. The reversal of 85811880 is 8811858.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341755 + ... + 342005.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^85811880 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 85811880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

85811880 is an abundant number, since it is smaller than the sum of its proper divisors (245134680).

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

85811880 is a wasteful number, since it uses less digits than its factorization.

85811880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 39.

The square root of 85811880 is about 9263.4701921040. The cubic root of 85811880 is about 441.0784153113.

The spelling of 85811880 in words is "eighty-five million, eight hundred eleven thousand, eight hundred eighty".