13007376 has 60 divisors (see below), whose sum is σ = 37043760. Its totient is φ = 4259520.

The previous prime is 13007369. The next prime is 13007377. The reversal of 13007376 is 67370031.

It is not an unprimeable number, because it can be changed into a prime (13007377) 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, 7731 + ... + 9261.

It is an arithmetic number, because the mean of its divisors is an integer number (617396).

Almost surely, 2^13007376 is an apocalyptic number.

13007376 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 13007376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18521880).

13007376 is an abundant number, since it is smaller than the sum of its proper divisors (24036384).

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

13007376 is a wasteful number, since it uses less digits than its factorization.

13007376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 13007376 is about 3606.5739975772. The cubic root of 13007376 is about 235.1779307350.

The spelling of 13007376 in words is "thirteen million, seven thousand, three hundred seventy-six".