12783408 has 120 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 3696000.

The previous prime is 12783401. The next prime is 12783451. The reversal of 12783408 is 80438721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12783401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180013 + ... + 180083.

Almost surely, 2^12783408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12783408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

12783408 is an abundant number, since it is smaller than the sum of its proper divisors (25214160).

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

12783408 is a wasteful number, since it uses less digits than its factorization.

12783408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 12783408 is about 3575.3892095826. The cubic root of 12783408 is about 233.8203018069.

The spelling of 12783408 in words is "twelve million, seven hundred eighty-three thousand, four hundred eight".