12008640 has 112 divisors (see below), whose sum is σ = 43598592. Its totient is φ = 2743296.

The previous prime is 12008621. The next prime is 12008657. The reversal of 12008640 is 4680021.

12008640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (21).

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, 5827 + ... + 7613.

Almost surely, 2^12008640 is an apocalyptic number.

12008640 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 12008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21799296).

12008640 is an abundant number, since it is smaller than the sum of its proper divisors (31589952).

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

12008640 is a wasteful number, since it uses less digits than its factorization.

12008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12008640 is about 3465.3484673262. The cubic root of 12008640 is about 228.9977816125.

Adding to 12008640 its reverse (4680021), we get a palindrome (16688661).

The spelling of 12008640 in words is "twelve million, eight thousand, six hundred forty".