14188640 has 48 divisors (see below), whose sum is σ = 34020000. Its totient is φ = 5591040.

The previous prime is 14188621. The next prime is 14188663. The reversal of 14188640 is 4688141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14188597 and 14188606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10736 + ... + 11984.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 2^14188640 is an apocalyptic number.

14188640 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 14188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010000).

14188640 is an abundant number, since it is smaller than the sum of its proper divisors (19831360).

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

14188640 is a wasteful number, since it uses less digits than its factorization.

14188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 14188640 is about 3766.7811192051. The cubic root of 14188640 is about 242.0918987084.

The spelling of 14188640 in words is "fourteen million, one hundred eighty-eight thousand, six hundred forty".