14785640 has 32 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 5838144.

The previous prime is 14785637. The next prime is 14785643. The reversal of 14785640 is 4658741.

It is an interprime number because it is at equal distance from previous prime (14785637) and next prime (14785643).

It is a self number, because there is not a number n which added to its sum of digits gives 14785640.

It is not an unprimeable number, because it can be changed into a prime (14785643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 821 + ... + 5499.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^14785640 is an apocalyptic number.

14785640 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 14785640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

14785640 is an abundant number, since it is smaller than the sum of its proper divisors (18910360).

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

14785640 is a wasteful number, since it uses less digits than its factorization.

14785640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 14785640 is about 3845.2100072688. The cubic root of 14785640 is about 245.4407725572.

The spelling of 14785640 in words is "fourteen million, seven hundred eighty-five thousand, six hundred forty".