855232560 has 640 divisors, whose sum is σ = 3833088000. Its totient is φ = 170201088.

The previous prime is 855232517. The next prime is 855232561. The reversal of 855232560 is 65232558.

It is a happy number.

855232560 is a `hidden beast` number, since 85 + 523 + 2 + 56 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (855232561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3734526 + ... + 3734754.

It is an arithmetic number, because the mean of its divisors is an integer number (5989200).

Almost surely, 2^855232560 is an apocalyptic number.

855232560 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 855232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916544000).

855232560 is an abundant number, since it is smaller than the sum of its proper divisors (2977855440).

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

855232560 is a wasteful number, since it uses less digits than its factorization.

855232560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 855232560 is about 29244.3594561413. The cubic root of 855232560 is about 949.2080417295.

The spelling of 855232560 in words is "eight hundred fifty-five million, two hundred thirty-two thousand, five hundred sixty".