856604160 has 400 divisors, whose sum is σ = 3261929616. Its totient is φ = 214990848.

The previous prime is 856604159. The next prime is 856604191. The reversal of 856604160 is 61406658.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50388472 + ... + 50388488.

Almost surely, 2^856604160 is an apocalyptic number.

856604160 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 856604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630964808).

856604160 is an abundant number, since it is smaller than the sum of its proper divisors (2405325456).

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

856604160 is an frugal number, since it uses more digits than its factorization.

856604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 856604160 is about 29267.8007373291. The cubic root of 856604160 is about 949.7152091862.

The spelling of 856604160 in words is "eight hundred fifty-six million, six hundred four thousand, one hundred sixty".