16836768 has 96 divisors (see below), whose sum is σ = 52920000. Its totient is φ = 5177088.

The previous prime is 16836761. The next prime is 16836769. The reversal of 16836768 is 86763861.

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

It is not an unprimeable number, because it can be changed into a prime (16836761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10483 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (551250).

Almost surely, 2^16836768 is an apocalyptic number.

16836768 is a gapful number since it is divisible by the number (18) 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 16836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460000).

16836768 is an abundant number, since it is smaller than the sum of its proper divisors (36083232).

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

16836768 is a wasteful number, since it uses less digits than its factorization.

16836768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1517 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 16836768 is about 4103.2630917356. The cubic root of 16836768 is about 256.3025394550.

The spelling of 16836768 in words is "sixteen million, eight hundred thirty-six thousand, seven hundred sixty-eight".