20034144 has 72 divisors (see below), whose sum is σ = 61366032. Its totient is φ = 6163200.

The previous prime is 20034137. The next prime is 20034149. The reversal of 20034144 is 44143002.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (852306).

Almost surely, 2^20034144 is an apocalyptic number.

20034144 is a gapful number since it is divisible by the number (24) 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 20034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30683016).

20034144 is an abundant number, since it is smaller than the sum of its proper divisors (41331888).

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

20034144 is a wasteful number, since it uses less digits than its factorization.

20034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20034144 is about 4475.9517423672. The cubic root of 20034144 is about 271.5961422984.

Adding to 20034144 its reverse (44143002), we get a palindrome (64177146).

The spelling of 20034144 in words is "twenty million, thirty-four thousand, one hundred forty-four".