12461904 has 160 divisors (see below), whose sum is σ = 44163840. Its totient is φ = 3276288.

The previous prime is 12461887. The next prime is 12461927. The reversal of 12461904 is 40916421.

12461904 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39154 + ... + 39470.

It is an arithmetic number, because the mean of its divisors is an integer number (276024).

Almost surely, 2^12461904 is an apocalyptic number.

12461904 is a gapful number since it is divisible by the number (14) 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 12461904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081920).

12461904 is an abundant number, since it is smaller than the sum of its proper divisors (31701936).

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

12461904 is a wasteful number, since it uses less digits than its factorization.

12461904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12461904 is about 3530.1422067673. The cubic root of 12461904 is about 231.8434338016.

The spelling of 12461904 in words is "twelve million, four hundred sixty-one thousand, nine hundred four".