85871360 has 72 divisors (see below), whose sum is σ = 208733280. Its totient is φ = 33841152.

The previous prime is 85871353. The next prime is 85871363. The reversal of 85871360 is 6317858.

It is not an unprimeable number, because it can be changed into a prime (85871363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92981 + ... + 93899.

Almost surely, 2^85871360 is an apocalyptic number.

85871360 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 85871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104366640).

85871360 is an abundant number, since it is smaller than the sum of its proper divisors (122861920).

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

85871360 is an equidigital number, since it uses as much as digits as its factorization.

85871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 85871360 is about 9266.6800959135. The cubic root of 85871360 is about 441.1803020774.

The spelling of 85871360 in words is "eighty-five million, eight hundred seventy-one thousand, three hundred sixty".