85853280 has 96 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 22785536.

The previous prime is 85853279. The next prime is 85853293. The reversal of 85853280 is 8235858.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 183607 + ... + 184073.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^85853280 is an apocalyptic number.

85853280 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 85853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

85853280 is an abundant number, since it is smaller than the sum of its proper divisors (185871264).

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

85853280 is a wasteful number, since it uses less digits than its factorization.

85853280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 85853280 is about 9265.7045064042. The cubic root of 85853280 is about 441.1493367678.

The spelling of 85853280 in words is "eighty-five million, eight hundred fifty-three thousand, two hundred eighty".