12304768 has 64 divisors (see below), whose sum is σ = 28984320. Its totient is φ = 5091840.

The previous prime is 12304763. The next prime is 12304771. The reversal of 12304768 is 86740321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27555 + ... + 27997.

It is an arithmetic number, because the mean of its divisors is an integer number (452880).

Almost surely, 2^12304768 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 12304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492160).

12304768 is an abundant number, since it is smaller than the sum of its proper divisors (16679552).

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

12304768 is an equidigital number, since it uses as much as digits as its factorization.

12304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 12304768 is about 3507.8152744978. The cubic root of 12304768 is about 230.8648472602.

The spelling of 12304768 in words is "twelve million, three hundred four thousand, seven hundred sixty-eight".