891745344 has 168 divisors, whose sum is σ = 2965671488. Its totient is φ = 250905600.

The previous prime is 891745333. The next prime is 891745357. The reversal of 891745344 is 443547198.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 891745344.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 268494 + ... + 271794.

Almost surely, 2^891745344 is an apocalyptic number.

891745344 is a gapful number since it is divisible by the number (84) 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 891745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482835744).

891745344 is an abundant number, since it is smaller than the sum of its proper divisors (2073926144).

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

891745344 is a wasteful number, since it uses less digits than its factorization.

891745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3380 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 891745344 is about 29862.1054850458. The cubic root of 891745344 is about 962.5285425617.

The spelling of 891745344 in words is "eight hundred ninety-one million, seven hundred forty-five thousand, three hundred forty-four".