16434720 has 144 divisors (see below), whose sum is σ = 57139992. Its totient is φ = 4300800.

The previous prime is 16434707. The next prime is 16434721. The reversal of 16434720 is 2743461.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 3732624 = 3564^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (16434721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145384 + ... + 145496.

Almost surely, 2^16434720 is an apocalyptic number.

16434720 is a gapful number since it is divisible by the number (10) 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 16434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569996).

16434720 is an abundant number, since it is smaller than the sum of its proper divisors (40705272).

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

16434720 is a wasteful number, since it uses less digits than its factorization.

16434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

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

The square root of 16434720 is about 4053.9758262723. The cubic root of 16434720 is about 254.2459848596.

The spelling of 16434720 in words is "sixteen million, four hundred thirty-four thousand, seven hundred twenty".