16742144 has 36 divisors (see below), whose sum is σ = 35393904. Its totient is φ = 7876608.

The previous prime is 16742123. The next prime is 16742149. The reversal of 16742144 is 44124761.

It is a happy number.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16742149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2429 + ... + 6275.

It is an arithmetic number, because the mean of its divisors is an integer number (983164).

Almost surely, 2^16742144 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 16742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696952).

16742144 is an abundant number, since it is smaller than the sum of its proper divisors (18651760).

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

16742144 is an equidigital number, since it uses as much as digits as its factorization.

16742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3866 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 16742144 is about 4091.7165102192. The cubic root of 16742144 is about 255.8214901366.

The spelling of 16742144 in words is "sixteen million, seven hundred forty-two thousand, one hundred forty-four".