16779040 has 24 divisors (see below), whose sum is σ = 39640860. Its totient is φ = 6711552.

The previous prime is 16779013. The next prime is 16779041. The reversal of 16779040 is 4097761.

It can be written as a sum of positive squares in 2 ways, for example, as 16353936 + 425104 = 4044^2 + 652^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16778987 and 16779005.

It is not an unprimeable number, because it can be changed into a prime (16779041) 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 3 ways as a sum of consecutive naturals, for example, 52275 + ... + 52594.

Almost surely, 2^16779040 is an apocalyptic number.

16779040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16779040 is an abundant number, since it is smaller than the sum of its proper divisors (22861820).

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

16779040 is a wasteful number, since it uses less digits than its factorization.

16779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104884 (or 104876 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 16779040 is about 4096.2226501986. Note that the first 3 decimals coincide. The cubic root of 16779040 is about 256.0092770076.

The spelling of 16779040 in words is "sixteen million, seven hundred seventy-nine thousand, forty".