891342144 has 630 divisors, whose sum is σ = 3494916810. Its totient is φ = 223534080.

The previous prime is 891342103. The next prime is 891342149. The reversal of 891342144 is 441243198.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 122943744 = 27720^2 + 11088^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 891342099 and 891342108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891342149) 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 89 ways as a sum of consecutive naturals, for example, 30735922 + ... + 30735950.

It is an arithmetic number, because the mean of its divisors is an integer number (5547487).

Almost surely, 2^891342144 is an apocalyptic number.

891342144 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 891342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747458405).

891342144 is an abundant number, since it is smaller than the sum of its proper divisors (2603574666).

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

891342144 is a wasteful number, since it uses less digits than its factorization.

891342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 891342144 is about 29855.3536907537. The cubic root of 891342144 is about 962.3834525547.

The spelling of 891342144 in words is "eight hundred ninety-one million, three hundred forty-two thousand, one hundred forty-four".