12611456 has 96 divisors (see below), whose sum is σ = 30238920. Its totient is φ = 5191680.

The previous prime is 12611453. The next prime is 12611461. The reversal of 12611456 is 65411621.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12611453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237926 + ... + 237978.

Almost surely, 2^12611456 is an apocalyptic number.

12611456 is a gapful number since it is divisible by the number (16) 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 12611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119460).

12611456 is an abundant number, since it is smaller than the sum of its proper divisors (17627464).

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

12611456 is a wasteful number, since it uses less digits than its factorization.

12611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 12611456 is about 3551.2611844245. The cubic root of 12611456 is about 232.7671788813.

The spelling of 12611456 in words is "twelve million, six hundred eleven thousand, four hundred fifty-six".