891255960 has 192 divisors, whose sum is σ = 3433248000. Its totient is φ = 203700096.

The previous prime is 891255949. The next prime is 891255977. The reversal of 891255960 is 69552198.

891255960 is a `hidden beast` number, since 8 + 91 + 2 + 559 + 6 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61491 + ... + 74589.

It is an arithmetic number, because the mean of its divisors is an integer number (17881500).

Almost surely, 2^891255960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 891255960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716624000).

891255960 is an abundant number, since it is smaller than the sum of its proper divisors (2541992040).

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

891255960 is a wasteful number, since it uses less digits than its factorization.

891255960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 891255960 is about 29853.9102966429. The cubic root of 891255960 is about 962.3524338902.

The spelling of 891255960 in words is "eight hundred ninety-one million, two hundred fifty-five thousand, nine hundred sixty".