14968560 has 80 divisors (see below), whose sum is σ = 47425536. Its totient is φ = 3903744.

The previous prime is 14968559. The next prime is 14968573. The reversal of 14968560 is 6586941.

14968560 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10617 + ... + 11943.

Almost surely, 2^14968560 is an apocalyptic number.

14968560 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 14968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712768).

14968560 is an abundant number, since it is smaller than the sum of its proper divisors (32456976).

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

14968560 is a wasteful number, since it uses less digits than its factorization.

14968560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 14968560 is about 3868.9223305722. The cubic root of 14968560 is about 246.4487808913.

The spelling of 14968560 in words is "fourteen million, nine hundred sixty-eight thousand, five hundred sixty".