14406720 has 112 divisors (see below), whose sum is σ = 46939200. Its totient is φ = 3741696.

The previous prime is 14406673. The next prime is 14406761. The reversal of 14406720 is 2760441.

It is a super-3 number, since 3×14406720³ (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41106 + ... + 41454.

It is an arithmetic number, because the mean of its divisors is an integer number (419100).

Almost surely, 2^14406720 is an apocalyptic number.

14406720 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 14406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469600).

14406720 is an abundant number, since it is smaller than the sum of its proper divisors (32532480).

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

14406720 is a wasteful number, since it uses less digits than its factorization.

14406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 14406720 is about 3795.6185266699. The cubic root of 14406720 is about 243.3259187499.

The spelling of 14406720 in words is "fourteen million, four hundred six thousand, seven hundred twenty".