14640 has 40 divisors (see below), whose sum is σ = 46128. Its totient is φ = 3840.

The previous prime is 14639. The next prime is 14653. The reversal of 14640 is 4641.

14640 = T₃₁ + T₃₂ + ... + T₄₈.

14640 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 11⁴-1.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

14640 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 270.

2¹⁴⁶⁴⁰ is an apocalyptic number.

14640 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 14640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064).

14640 is an abundant number, since it is smaller than the sum of its proper divisors (31488).

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

14640 is a wasteful number, since it uses less digits than its factorization.

14640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14640 is about 120.9958676980. The cubic root of 14640 is about 24.4632240139.

Subtracting from 14640 its reverse (4641), we obtain a palindrome (9999).

The spelling of 14640 in words is "fourteen thousand, six hundred forty".