856136160 has 144 divisors (see below), whose sum is σ = 3187220400. Its totient is φ = 207544320.

The previous prime is 856136131. The next prime is 856136179. The reversal of 856136160 is 61631658.

It is a happy number.

856136160 is a `hidden beast` number, since 8 + 561 + 36 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11185 + ... + 42864.

It is an arithmetic number, because the mean of its divisors is an integer number (22133475).

Almost surely, 2^856136160 is an apocalyptic number.

856136160 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 856136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593610200).

856136160 is an abundant number, since it is smaller than the sum of its proper divisors (2331084240).

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

856136160 is a wasteful number, since it uses less digits than its factorization.

856136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54081 (or 54070 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 856136160 is about 29259.8045106252. The cubic root of 856136160 is about 949.5422208107.

The spelling of 856136160 in words is "eight hundred fifty-six million, one hundred thirty-six thousand, one hundred sixty".