16742304 has 72 divisors (see below), whose sum is σ = 48442212. Its totient is φ = 5483520.

The previous prime is 16742303. The next prime is 16742333. The reversal of 16742304 is 40324761.

It can be written as a sum of positive squares in 2 ways, for example, as 14837904 + 1904400 = 3852^2 + 1380^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16742303) 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, 17092 + ... + 18044.

Almost surely, 2^16742304 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 16742304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24221106).

16742304 is an abundant number, since it is smaller than the sum of its proper divisors (31699908).

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

16742304 is a wasteful number, since it uses less digits than its factorization.

16742304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 16742304 is about 4091.7360618691. The cubic root of 16742304 is about 255.8223050722.

The spelling of 16742304 in words is "sixteen million, seven hundred forty-two thousand, three hundred four".