20329144 has 64 divisors (see below), whose sum is σ = 44789760. Its totient is φ = 8547840.

The previous prime is 20329139. The next prime is 20329147. The reversal of 20329144 is 44192302.

20329144 is a modest number, since divided by 9144 gives 2032 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20329147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160009 + ... + 160135.

It is an arithmetic number, because the mean of its divisors is an integer number (699840).

Almost surely, 2^20329144 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 20329144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394880).

20329144 is an abundant number, since it is smaller than the sum of its proper divisors (24460616).

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

20329144 is a wasteful number, since it uses less digits than its factorization.

20329144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 20329144 is about 4508.7852022468. The cubic root of 20329144 is about 272.9227240839.

The spelling of 20329144 in words is "twenty million, three hundred twenty-nine thousand, one hundred forty-four".