85959360 has 112 divisors (see below), whose sum is σ = 303276000. Its totient is φ = 22920192.

The previous prime is 85959343. The next prime is 85959389. The reversal of 85959360 is 6395958.

85959360 is a `hidden beast` number, since 8 + 59 + 593 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3666 + ... + 13614.

Almost surely, 2^85959360 is an apocalyptic number.

85959360 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 85959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151638000).

85959360 is an abundant number, since it is smaller than the sum of its proper divisors (217316640).

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

85959360 is a wasteful number, since it uses less digits than its factorization.

85959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9975 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 85959360 is about 9271.4270746202. The cubic root of 85959360 is about 441.3309561567.

It can be divided in two parts, 8595 and 9360, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 85959360 in words is "eighty-five million, nine hundred fifty-nine thousand, three hundred sixty".