914144 has 72 divisors (see below), whose sum is σ = 2326968. Its totient is φ = 349440.

The previous prime is 914131. The next prime is 914161. The reversal of 914144 is 441419.

It is a congruent number.

It is an unprimeable number.

914144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 17222 + ... + 17274.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

2⁹¹⁴¹⁴⁴ 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 914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163484).

914144 is an abundant number, since it is smaller than the sum of its proper divisors (1412824).

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

914144 is a wasteful number, since it uses less digits than its factorization.

914144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 914144 is about 956.1087804220. The cubic root of 914144 is about 97.0520852522.

It can be divided in two parts, 9141 and 44, that multiplied together give a palindrome (402204).

The spelling of 914144 in words is "nine hundred fourteen thousand, one hundred forty-four".