891105632 has 48 divisors (see below), whose sum is σ = 1820589120. Its totient is φ = 428986368.

The previous prime is 891105613. The next prime is 891105637. The reversal of 891105632 is 236501198.

It is a junction number, because it is equal to n+sod(n) for n = 891105592 and 891105601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891105637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110969 + ... + 118727.

It is an arithmetic number, because the mean of its divisors is an integer number (37928940).

Almost surely, 2^891105632 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 891105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910294560).

891105632 is an abundant number, since it is smaller than the sum of its proper divisors (929483488).

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

891105632 is a wasteful number, since it uses less digits than its factorization.

891105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 891105632 is about 29851.3924633341. The cubic root of 891105632 is about 962.2983242376.

The spelling of 891105632 in words is "eight hundred ninety-one million, one hundred five thousand, six hundred thirty-two".