85335360 has 112 divisors (see below), whose sum is σ = 295607232. Its totient is φ = 20684800.

The previous prime is 85335331. The next prime is 85335361. The reversal of 85335360 is 6353358.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85335361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6520 + ... + 14600.

Almost surely, 2^85335360 is an apocalyptic number.

85335360 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 85335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147803616).

85335360 is an abundant number, since it is smaller than the sum of its proper divisors (210271872).

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

85335360 is a wasteful number, since it uses less digits than its factorization.

85335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 85335360 is about 9237.7140029338. The cubic root of 85335360 is about 440.2604518593.

The spelling of 85335360 in words is "eighty-five million, three hundred thirty-five thousand, three hundred sixty".