85383360 has 168 divisors, whose sum is σ = 306689760. Its totient is φ = 21762048.

The previous prime is 85383341. The next prime is 85383373. The reversal of 85383360 is 6338358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65596 + ... + 66884.

Almost surely, 2^85383360 is an apocalyptic number.

85383360 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 85383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153344880).

85383360 is an abundant number, since it is smaller than the sum of its proper divisors (221306400).

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

85383360 is a wasteful number, since it uses less digits than its factorization.

85383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 85383360 is about 9240.3116830549. The cubic root of 85383360 is about 440.3429832612.

The spelling of 85383360 in words is "eighty-five million, three hundred eighty-three thousand, three hundred sixty".