855588960 has 384 divisors, whose sum is σ = 3193344000. Its totient is φ = 213497856.

The previous prime is 855588953. The next prime is 855588961. The reversal of 855588960 is 69885558.

855588960 is a `hidden beast` number, since 8 + 5 + 558 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 855588897 and 855588906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855588961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7849386 + ... + 7849494.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2^855588960 is an apocalyptic number.

855588960 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 855588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672000).

855588960 is an abundant number, since it is smaller than the sum of its proper divisors (2337755040).

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

855588960 is a wasteful number, since it uses less digits than its factorization.

855588960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The square root of 855588960 is about 29250.4523041952. The cubic root of 855588960 is about 949.3398775131.

The spelling of 855588960 in words is "eight hundred fifty-five million, five hundred eighty-eight thousand, nine hundred sixty".