14968350 has 144 divisors (see below), whose sum is σ = 44104320. Its totient is φ = 3628800.

The previous prime is 14968339. The next prime is 14968351. The reversal of 14968350 is 5386941.

14968350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14968351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404532 + ... + 404568.

It is an arithmetic number, because the mean of its divisors is an integer number (306280).

Almost surely, 2^14968350 is an apocalyptic number.

14968350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14968350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

14968350 is an abundant number, since it is smaller than the sum of its proper divisors (29135970).

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

14968350 is a wasteful number, since it uses less digits than its factorization.

14968350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 14968350 is about 3868.8951911366. The cubic root of 14968350 is about 246.4476283759.

The spelling of 14968350 in words is "fourteen million, nine hundred sixty-eight thousand, three hundred fifty".