13004376 has 128 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 3254400.

The previous prime is 13004363. The next prime is 13004377. The reversal of 13004376 is 67340031.

13004376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13004376² = 338227590298752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57175 + ... + 57401.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 2^13004376 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 13004376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012480).

13004376 is an abundant number, since it is smaller than the sum of its proper divisors (29020584).

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

13004376 is a wasteful number, since it uses less digits than its factorization.

13004376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 13004376 is about 3606.1580664192. The cubic root of 13004376 is about 235.1598489933.

The spelling of 13004376 in words is "thirteen million, four thousand, three hundred seventy-six".