16729664 has 56 divisors (see below), whose sum is σ = 38404800. Its totient is φ = 7082496.

The previous prime is 16729663. The next prime is 16729667. The reversal of 16729664 is 46692761.

16729664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16729663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47762 + ... + 48110.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 2^16729664 is an apocalyptic number.

16729664 is a gapful number since it is divisible by the number (14) 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 16729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202400).

16729664 is an abundant number, since it is smaller than the sum of its proper divisors (21675136).

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

16729664 is a wasteful number, since it uses less digits than its factorization.

16729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 16729664 is about 4090.1911935752. The cubic root of 16729664 is about 255.7579091556.

The spelling of 16729664 in words is "sixteen million, seven hundred twenty-nine thousand, six hundred sixty-four".