16729416 has 80 divisors (see below), whose sum is σ = 51139440. Its totient is φ = 5067360.

The previous prime is 16729409. The next prime is 16729457. The reversal of 16729416 is 61492761.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5955 + ... + 8301.

It is an arithmetic number, because the mean of its divisors is an integer number (639243).

Almost surely, 2^16729416 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 16729416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25569720).

16729416 is an abundant number, since it is smaller than the sum of its proper divisors (34410024).

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

16729416 is a wasteful number, since it uses less digits than its factorization.

16729416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2363 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 16729416 is about 4090.1608770316. The cubic root of 16729416 is about 255.7566453670.

The spelling of 16729416 in words is "sixteen million, seven hundred twenty-nine thousand, four hundred sixteen".