855970560 has 216 divisors, whose sum is σ = 3008481840. Its totient is φ = 224649216.

The previous prime is 855970537. The next prime is 855970589. The reversal of 855970560 is 65079558.

855970560 is a `hidden beast` number, since 8 + 5 + 597 + 0 + 56 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 771286 + ... + 772394.

Almost surely, 2^855970560 is an apocalyptic number.

855970560 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 855970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504240920).

855970560 is an abundant number, since it is smaller than the sum of its proper divisors (2152511280).

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

855970560 is a wasteful number, since it uses less digits than its factorization.

855970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 855970560 is about 29256.9745530873. The cubic root of 855970560 is about 949.4809944393.

The spelling of 855970560 in words is "eight hundred fifty-five million, nine hundred seventy thousand, five hundred sixty".