16805040 has 120 divisors (see below), whose sum is σ = 60643440. Its totient is φ = 3838464.

The previous prime is 16805023. The next prime is 16805053. The reversal of 16805040 is 4050861.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

16805040 is a modest number, since divided by 5040 gives 1680 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 16805040.

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, 11046 + ... + 12474.

It is an arithmetic number, because the mean of its divisors is an integer number (505362).

Almost surely, 2^16805040 is an apocalyptic number.

16805040 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 16805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30321720).

16805040 is an abundant number, since it is smaller than the sum of its proper divisors (43838400).

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

16805040 is a wasteful number, since it uses less digits than its factorization.

16805040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 16805040 is about 4099.3950773254. The cubic root of 16805040 is about 256.1414420201.

The spelling of 16805040 in words is "sixteen million, eight hundred five thousand, forty".