16009840 has 160 divisors (see below), whose sum is σ = 48854016. Its totient is φ = 4730880.

The previous prime is 16009831. The next prime is 16009841. The reversal of 16009840 is 4890061.

It is a Harshad number since it is a multiple of its sum of digits (28).

16009840 is a modest number, since divided by 9840 gives 160 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 16009799 and 16009808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16009841) 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 31 ways as a sum of consecutive naturals, for example, 141624 + ... + 141736.

Almost surely, 2^16009840 is an apocalyptic number.

16009840 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 16009840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008).

16009840 is an abundant number, since it is smaller than the sum of its proper divisors (32844176).

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

16009840 is a wasteful number, since it uses less digits than its factorization.

16009840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 16009840 is about 4001.2298109456. The cubic root of 16009840 is about 252.0358561560.

The spelling of 16009840 in words is "sixteen million, nine thousand, eight hundred forty".