16448640 has 128 divisors (see below), whose sum is σ = 56548800. Its totient is φ = 4042752.

The previous prime is 16448617. The next prime is 16448651. The reversal of 16448640 is 4684461.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 24631 + ... + 25289.

Almost surely, 2^16448640 is an apocalyptic number.

16448640 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 16448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400).

16448640 is an abundant number, since it is smaller than the sum of its proper divisors (40100160).

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

16448640 is a wasteful number, since it uses less digits than its factorization.

16448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 16448640 is about 4055.6922960205. The cubic root of 16448640 is about 254.3177456478.

The spelling of 16448640 in words is "sixteen million, four hundred forty-eight thousand, six hundred forty".