19734144 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 6189056.

The previous prime is 19734137. The next prime is 19734173. The reversal of 19734144 is 44143791.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5017 + ... + 8039.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^19734144 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 19734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

19734144 is an abundant number, since it is smaller than the sum of its proper divisors (35786496).

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

19734144 is a wasteful number, since it uses less digits than its factorization.

19734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3045 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 19734144 is about 4442.3129110858. The cubic root of 19734144 is about 270.2336523392.

The spelling of 19734144 in words is "nineteen million, seven hundred thirty-four thousand, one hundred forty-four".