12460896 has 108 divisors (see below), whose sum is σ = 41267772. Its totient is φ = 3556224.

The previous prime is 12460867. The next prime is 12460901. The reversal of 12460896 is 69806421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12460896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13671 + ... + 14553.

It is an arithmetic number, because the mean of its divisors is an integer number (382109).

Almost surely, 2^12460896 is an apocalyptic number.

12460896 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 12460896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633886).

12460896 is an abundant number, since it is smaller than the sum of its proper divisors (28806876).

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

12460896 is a wasteful number, since it uses less digits than its factorization.

12460896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12460896 is about 3529.9994334277. Note that the first 3 decimals coincide. The cubic root of 12460896 is about 231.8371826305.

The spelling of 12460896 in words is "twelve million, four hundred sixty thousand, eight hundred ninety-six".