14400960 has 112 divisors (see below), whose sum is σ = 52279296. Its totient is φ = 3290112.

The previous prime is 14400959. The next prime is 14400973. The reversal of 14400960 is 6900441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14400960.

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, 5649 + ... + 7791.

Almost surely, 2^14400960 is an apocalyptic number.

14400960 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 14400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26139648).

14400960 is an abundant number, since it is smaller than the sum of its proper divisors (37878336).

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

14400960 is a wasteful number, since it uses less digits than its factorization.

14400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14400960 is about 3794.8596812003. The cubic root of 14400960 is about 243.2934861046.

It can be divided in two parts, 14400 and 960, that multiplied together give a cube (13824000 = 240³).

The spelling of 14400960 in words is "fourteen million, four hundred thousand, nine hundred sixty".