16778944 has 112 divisors (see below), whose sum is σ = 42558208. Its totient is φ = 6386688.

The previous prime is 16778929. The next prime is 16778947. The reversal of 16778944 is 44987761.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 16778894 and 16778903.

It is not an unprimeable number, because it can be changed into a prime (16778947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250399 + ... + 250465.

It is an arithmetic number, because the mean of its divisors is an integer number (379984).

Almost surely, 2^16778944 is an apocalyptic number.

16778944 is a gapful number since it is divisible by the number (14) 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 16778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21279104).

16778944 is an abundant number, since it is smaller than the sum of its proper divisors (25779264).

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

16778944 is a wasteful number, since it uses less digits than its factorization.

16778944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 16778944 is about 4096.2109320688. The cubic root of 16778944 is about 256.0087887608.

The spelling of 16778944 in words is "sixteen million, seven hundred seventy-eight thousand, nine hundred forty-four".