856618560 has 168 divisors, whose sum is σ = 3367406016. Its totient is φ = 195793920.

The previous prime is 856618541. The next prime is 856618571. The reversal of 856618560 is 65816658.

856618560 is a `hidden beast` number, since 8 + 566 + 1 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 1086 + ... + 41405.

Almost surely, 2^856618560 is an apocalyptic number.

856618560 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 856618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683703008).

856618560 is an abundant number, since it is smaller than the sum of its proper divisors (2510787456).

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

856618560 is a wasteful number, since it uses less digits than its factorization.

856618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42521 (or 42508 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 856618560 is about 29268.0467404301. The cubic root of 856618560 is about 949.7205309061.

The spelling of 856618560 in words is "eight hundred fifty-six million, six hundred eighteen thousand, five hundred sixty".