16259040 has 144 divisors (see below), whose sum is σ = 63449568. Its totient is φ = 3714048.

The previous prime is 16259017. The next prime is 16259093. The reversal of 16259040 is 4095261.

16259040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 16258995 and 16259013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9274 + ... + 10886.

It is an arithmetic number, because the mean of its divisors is an integer number (440622).

Almost surely, 2^16259040 is an apocalyptic number.

16259040 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 16259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31724784).

16259040 is an abundant number, since it is smaller than the sum of its proper divisors (47190528).

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

16259040 is a wasteful number, since it uses less digits than its factorization.

16259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 16259040 is about 4032.2499922500. The cubic root of 16259040 is about 253.3368112788.

The spelling of 16259040 in words is "sixteen million, two hundred fifty-nine thousand, forty".