14248960 has 132 divisors (see below), whose sum is σ = 39204144. Its totient is φ = 4956160.

The previous prime is 14248939. The next prime is 14248963. The reversal of 14248960 is 6984241.

14248960 = T₄₅₃ + T₄₅₄ + ... + T₅₆₂.

It is a super-2 number, since 2×14248960² = 406065722163200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14248963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619509 + ... + 619531.

Almost surely, 2^14248960 is an apocalyptic number.

14248960 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 14248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602072).

14248960 is an abundant number, since it is smaller than the sum of its proper divisors (24955184).

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

14248960 is a wasteful number, since it uses less digits than its factorization.

14248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 14248960 is about 3774.7794637568. The cubic root of 14248960 is about 242.4344811837.

The spelling of 14248960 in words is "fourteen million, two hundred forty-eight thousand, nine hundred sixty".