14909760 has 168 divisors, whose sum is σ = 53254656. Its totient is φ = 3824640.

The previous prime is 14909753. The next prime is 14909761. The reversal of 14909760 is 6790941.

It is a super-3 number, since 3×14909760³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14909761) 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, 89197 + ... + 89363.

It is an arithmetic number, because the mean of its divisors is an integer number (316992).

Almost surely, 2^14909760 is an apocalyptic number.

14909760 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 14909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

14909760 is an abundant number, since it is smaller than the sum of its proper divisors (38344896).

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

14909760 is a wasteful number, since it uses less digits than its factorization.

14909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 14909760 is about 3861.3158378977. The cubic root of 14909760 is about 246.1256546240.

The spelling of 14909760 in words is "fourteen million, nine hundred nine thousand, seven hundred sixty".