16768440 has 96 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 4126464.

The previous prime is 16768439. The next prime is 16768441. The reversal of 16768440 is 4486761.

It is an interprime number because it is at equal distance from previous prime (16768439) and next prime (16768441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 16768395 and 16768404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16768441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2889 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^16768440 is an apocalyptic number.

16768440 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 16768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

16768440 is an abundant number, since it is smaller than the sum of its proper divisors (41937480).

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

16768440 is a wasteful number, since it uses less digits than its factorization.

16768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 16768440 is about 4094.9285708056. The cubic root of 16768440 is about 255.9553551704.

The spelling of 16768440 in words is "sixteen million, seven hundred sixty-eight thousand, four hundred forty".