53834144 has 144 divisors (see below), whose sum is σ = 140767200. Its totient is φ = 20030976.

The previous prime is 53834141. The next prime is 53834159. The reversal of 53834144 is 44143835.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (23040) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 53834144.

It is not an unprimeable number, because it can be changed into a prime (53834141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387227 + ... + 387365.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 2^53834144 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 53834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70383600).

53834144 is an abundant number, since it is smaller than the sum of its proper divisors (86933056).

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

53834144 is a wasteful number, since it uses less digits than its factorization.

53834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 53834144 is about 7337.1754783431. The cubic root of 53834144 is about 377.5889450225.

Adding to 53834144 its reverse (44143835), we get a palindrome (97977979).

The spelling of 53834144 in words is "fifty-three million, eight hundred thirty-four thousand, one hundred forty-four".