85995360 has 288 divisors, whose sum is σ = 329041440. Its totient is φ = 20275200.

The previous prime is 85995347. The next prime is 85995379. The reversal of 85995360 is 6359958.

85995360 is a `hidden beast` number, since 8 + 599 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966196 + ... + 966284.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^85995360 is an apocalyptic number.

85995360 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 85995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

85995360 is an abundant number, since it is smaller than the sum of its proper divisors (243046080).

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

85995360 is a wasteful number, since it uses less digits than its factorization.

85995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

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

The square root of 85995360 is about 9273.3683200874. The cubic root of 85995360 is about 441.3925577359.

The spelling of 85995360 in words is "eighty-five million, nine hundred ninety-five thousand, three hundred sixty".