14404640 has 48 divisors (see below), whose sum is σ = 34278552. Its totient is φ = 5720064.

The previous prime is 14404631. The next prime is 14404651. The reversal of 14404640 is 4640441.

It can be written as a sum of positive squares in 4 ways, for example, as 14348944 + 55696 = 3788^2 + 236^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31292 + ... + 31748.

Almost surely, 2^14404640 is an apocalyptic number.

14404640 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 14404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17139276).

14404640 is an abundant number, since it is smaller than the sum of its proper divisors (19873912).

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

14404640 is a wasteful number, since it uses less digits than its factorization.

14404640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 14404640 is about 3795.3445166414. The cubic root of 14404640 is about 243.3142079587.

The spelling of 14404640 in words is "fourteen million, four hundred four thousand, six hundred forty".