891156000 has 288 divisors, whose sum is σ = 3369195648. Its totient is φ = 201715200.

The previous prime is 891155983. The next prime is 891156011. The reversal of 891156000 is 651198.

It is a happy number.

891156000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8651949 + ... + 8652051.

It is an arithmetic number, because the mean of its divisors is an integer number (11698596).

Almost surely, 2^891156000 is an apocalyptic number.

891156000 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 891156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684597824).

891156000 is an abundant number, since it is smaller than the sum of its proper divisors (2478039648).

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

891156000 is a wasteful number, since it uses less digits than its factorization.

891156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 891156000 is about 29852.2360971502. The cubic root of 891156000 is about 962.3164545718.

The spelling of 891156000 in words is "eight hundred ninety-one million, one hundred fifty-six thousand".