14943264 has 96 divisors (see below), whose sum is σ = 46118016. Its totient is φ = 4147200.

The previous prime is 14943251. The next prime is 14943277. The reversal of 14943264 is 46234941.

It is an interprime number because it is at equal distance from previous prime (14943251) and next prime (14943277).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14943264² = 446602277947392, which contains 22 as substring.

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, 24564 + ... + 25164.

It is an arithmetic number, because the mean of its divisors is an integer number (480396).

Almost surely, 2^14943264 is an apocalyptic number.

14943264 is a gapful number since it is divisible by the number (14) 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 14943264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23059008).

14943264 is an abundant number, since it is smaller than the sum of its proper divisors (31174752).

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

14943264 is a wasteful number, since it uses less digits than its factorization.

14943264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 14943264 is about 3865.6518208447. The cubic root of 14943264 is about 246.3098745557.

The spelling of 14943264 in words is "fourteen million, nine hundred forty-three thousand, two hundred sixty-four".