16947680 has 48 divisors (see below), whose sum is σ = 40615344. Its totient is φ = 6681600.

The previous prime is 16947673. The next prime is 16947703. The reversal of 16947680 is 8674961.

It is a super-3 number, since 3×16947680³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10955 + ... + 12405.

It is an arithmetic number, because the mean of its divisors is an integer number (846153).

Almost surely, 2^16947680 is an apocalyptic number.

16947680 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 16947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307672).

16947680 is an abundant number, since it is smaller than the sum of its proper divisors (23667664).

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

16947680 is a wasteful number, since it uses less digits than its factorization.

16947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 16947680 is about 4116.7560044287. The cubic root of 16947680 is about 256.8641047508.

The spelling of 16947680 in words is "sixteen million, nine hundred forty-seven thousand, six hundred eighty".