85871280 has 120 divisors (see below), whose sum is σ = 292700016. Its totient is φ = 20810240.

The previous prime is 85871273. The next prime is 85871293. The reversal of 85871280 is 8217858.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27562 + ... + 30518.

Almost surely, 2^85871280 is an apocalyptic number.

85871280 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 85871280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146350008).

85871280 is an abundant number, since it is smaller than the sum of its proper divisors (206828736).

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

85871280 is a wasteful number, since it uses less digits than its factorization.

85871280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 85871280 is about 9266.6757793720. The cubic root of 85871280 is about 441.1801650723.

The spelling of 85871280 in words is "eighty-five million, eight hundred seventy-one thousand, two hundred eighty".