16803840 has 96 divisors (see below), whose sum is σ = 53857440. Its totient is φ = 4472832.

The previous prime is 16803827. The next prime is 16803881. The reversal of 16803840 is 4830861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16803798 and 16803807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30447 + ... + 30993.

It is an arithmetic number, because the mean of its divisors is an integer number (561015).

Almost surely, 2^16803840 is an apocalyptic number.

16803840 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 16803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26928720).

16803840 is an abundant number, since it is smaller than the sum of its proper divisors (37053600).

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

16803840 is an equidigital number, since it uses as much as digits as its factorization.

16803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 16803840 is about 4099.2487116544. The cubic root of 16803840 is about 256.1353450982.

The spelling of 16803840 in words is "sixteen million, eight hundred three thousand, eight hundred forty".