14010768 has 60 divisors (see below), whose sum is σ = 39534300. Its totient is φ = 4631808.

The previous prime is 14010743. The next prime is 14010769. The reversal of 14010768 is 86701041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 11614464 = 1548^2 + 3408^2 .

It is not an unprimeable number, because it can be changed into a prime (14010769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21130 + ... + 21782.

It is an arithmetic number, because the mean of its divisors is an integer number (658905).

Almost surely, 2^14010768 is an apocalyptic number.

14010768 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 14010768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767150).

14010768 is an abundant number, since it is smaller than the sum of its proper divisors (25523532).

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

14010768 is a wasteful number, since it uses less digits than its factorization.

14010768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 14010768 is about 3743.0960447202. The cubic root of 14010768 is about 241.0760020390.

The spelling of 14010768 in words is "fourteen million, ten thousand, seven hundred sixty-eight".