16947840 has 256 divisors, whose sum is σ = 67173120. Its totient is φ = 3538944.

The previous prime is 16947823. The next prime is 16947841. The reversal of 16947840 is 4874961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16947841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174672 + ... + 174768.

It is an arithmetic number, because the mean of its divisors is an integer number (262395).

Almost surely, 2^16947840 is an apocalyptic number.

16947840 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 16947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33586560).

16947840 is an abundant number, since it is smaller than the sum of its proper divisors (50225280).

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

16947840 is a wasteful number, since it uses less digits than its factorization.

16947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 16947840 is about 4116.7754371595. The cubic root of 16947840 is about 256.8649130842.

The spelling of 16947840 in words is "sixteen million, nine hundred forty-seven thousand, eight hundred forty".