14760720 has 240 divisors, whose sum is σ = 56871360. Its totient is φ = 3400704.

The previous prime is 14760689. The next prime is 14760721. The reversal of 14760720 is 2706741.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (14760721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177799 + ... + 177881.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^14760720 is an apocalyptic number.

14760720 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 14760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

14760720 is an abundant number, since it is smaller than the sum of its proper divisors (42110640).

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

14760720 is a wasteful number, since it uses less digits than its factorization.

14760720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 14760720 is about 3841.9682455741. The cubic root of 14760720 is about 245.3028048287.

The spelling of 14760720 in words is "fourteen million, seven hundred sixty thousand, seven hundred twenty".