16881648 has 80 divisors (see below), whose sum is σ = 50949120. Its totient is φ = 4716288.

The previous prime is 16881647. The next prime is 16881653. The reversal of 16881648 is 84618861.

It is a super-3 number, since 3×16881648³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16881643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15258 + ... + 16326.

It is an arithmetic number, because the mean of its divisors is an integer number (636864).

Almost surely, 2^16881648 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 16881648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474560).

16881648 is an abundant number, since it is smaller than the sum of its proper divisors (34067472).

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

16881648 is a wasteful number, since it uses less digits than its factorization.

16881648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 16881648 is about 4108.7282704019. The cubic root of 16881648 is about 256.5300703055.

The spelling of 16881648 in words is "sixteen million, eight hundred eighty-one thousand, six hundred forty-eight".