891601344 has 140 divisors (see below), whose sum is σ = 2656524024. Its totient is φ = 295681536.

The previous prime is 891601331. The next prime is 891601349. The reversal of 891601344 is 443106198.

891601344 is a `hidden beast` number, since 8 + 9 + 1 + 601 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 891601299 and 891601308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891601349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1518619 + ... + 1519205.

Almost surely, 2^891601344 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 891601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328262012).

891601344 is an abundant number, since it is smaller than the sum of its proper divisors (1764922680).

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

891601344 is a wasteful number, since it uses less digits than its factorization.

891601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 891601344 is about 29859.6943052001. The cubic root of 891601344 is about 962.4767297236.

The spelling of 891601344 in words is "eight hundred ninety-one million, six hundred one thousand, three hundred forty-four".