14736960 has 336 divisors, whose sum is σ = 62764416. Its totient is φ = 3096576.

The previous prime is 14736949. The next prime is 14736971. The reversal of 14736960 is 6963741.

It is an interprime number because it is at equal distance from previous prime (14736949) and next prime (14736971).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342699 + ... + 342741.

Almost surely, 2^14736960 is an apocalyptic number.

14736960 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 14736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31382208).

14736960 is an abundant number, since it is smaller than the sum of its proper divisors (48027456).

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

14736960 is a wasteful number, since it uses less digits than its factorization.

14736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 14736960 is about 3838.8748351568. The cubic root of 14736960 is about 245.1711146690.

The spelling of 14736960 in words is "fourteen million, seven hundred thirty-six thousand, nine hundred sixty".