14788640 has 48 divisors (see below), whose sum is σ = 37000152. Its totient is φ = 5566464.

The previous prime is 14788607. The next prime is 14788651. The reversal of 14788640 is 4688741.

It can be written as a sum of positive squares in 4 ways, for example, as 13630864 + 1157776 = 3692^2 + 1076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14788594 and 14788603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2 + ... + 5438.

Almost surely, 2^14788640 is an apocalyptic number.

14788640 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 14788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500076).

14788640 is an abundant number, since it is smaller than the sum of its proper divisors (22211512).

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

14788640 is a wasteful number, since it uses less digits than its factorization.

14788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 14788640 is about 3845.6000832120. The cubic root of 14788640 is about 245.4573713770.

The spelling of 14788640 in words is "fourteen million, seven hundred eighty-eight thousand, six hundred forty".