16305040 has 80 divisors (see below), whose sum is σ = 42318720. Its totient is φ = 5806080.

The previous prime is 16305031. The next prime is 16305073. The reversal of 16305040 is 4050361.

16305040 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 16304999 and 16305017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25525 + ... + 26155.

It is an arithmetic number, because the mean of its divisors is an integer number (528984).

Almost surely, 2^16305040 is an apocalyptic number.

16305040 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 16305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159360).

16305040 is an abundant number, since it is smaller than the sum of its proper divisors (26013680).

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

16305040 is a wasteful number, since it uses less digits than its factorization.

16305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 16305040 is about 4037.9499749254. The cubic root of 16305040 is about 253.5754994293.

It can be divided in two parts, 1630 and 5040, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 16305040 in words is "sixteen million, three hundred five thousand, forty".