14949360 has 120 divisors (see below), whose sum is σ = 52132080. Its totient is φ = 3981312.

The previous prime is 14949353. The next prime is 14949377. The reversal of 14949360 is 6394941.

14949360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19056 + ... + 19824.

It is an arithmetic number, because the mean of its divisors is an integer number (434434).

Almost surely, 2^14949360 is an apocalyptic number.

14949360 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 14949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066040).

14949360 is an abundant number, since it is smaller than the sum of its proper divisors (37182720).

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

14949360 is an equidigital number, since it uses as much as digits as its factorization.

14949360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 14949360 is about 3866.4402232545. The cubic root of 14949360 is about 246.3433634656.

The spelling of 14949360 in words is "fourteen million, nine hundred forty-nine thousand, three hundred sixty".