891153900 has 648 divisors, whose sum is σ = 3700429824. Its totient is φ = 181958400.

The previous prime is 891153863. The next prime is 891153911. The reversal of 891153900 is 9351198.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28746885 + ... + 28746915.

Almost surely, 2^891153900 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 891153900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850214912).

891153900 is an abundant number, since it is smaller than the sum of its proper divisors (2809275924).

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

891153900 is a wasteful number, since it uses less digits than its factorization.

891153900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 891153900 is about 29852.2009238850. The cubic root of 891153900 is about 962.3156986749.

The spelling of 891153900 in words is "eight hundred ninety-one million, one hundred fifty-three thousand, nine hundred".