16947936 has 72 divisors (see below), whose sum is σ = 48845160. Its totient is φ = 5573376.

The previous prime is 16947923. The next prime is 16947967. The reversal of 16947936 is 63974961.

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

It is a junction number, because it is equal to n+sod(n) for n = 16947891 and 16947900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23550 + ... + 24258.

It is an arithmetic number, because the mean of its divisors is an integer number (678405).

Almost surely, 2^16947936 is an apocalyptic number.

16947936 is a gapful number since it is divisible by the number (16) 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 16947936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422580).

16947936 is an abundant number, since it is smaller than the sum of its proper divisors (31897224).

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

16947936 is a wasteful number, since it uses less digits than its factorization.

16947936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 16947936 is about 4116.7870967540. The cubic root of 16947936 is about 256.8653980818.

The spelling of 16947936 in words is "sixteen million, nine hundred forty-seven thousand, nine hundred thirty-six".