12613440 has 112 divisors (see below), whose sum is σ = 45793152. Its totient is φ = 2881536.

The previous prime is 12613409. The next prime is 12613457. The reversal of 12613440 is 4431621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×12613440³ (a number of 22 digits) contains 333 as substring.

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, 5782 + ... + 7658.

Almost surely, 2^12613440 is an apocalyptic number.

12613440 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 12613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22896576).

12613440 is an abundant number, since it is smaller than the sum of its proper divisors (33179712).

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

12613440 is a wasteful number, since it uses less digits than its factorization.

12613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12613440 is about 3551.5405108206. The cubic root of 12613440 is about 232.7793843413.

The spelling of 12613440 in words is "twelve million, six hundred thirteen thousand, four hundred forty".