13004992 has 168 divisors, whose sum is σ = 36484560. Its totient is φ = 4515840.

The previous prime is 13004989. The next prime is 13004993. The reversal of 13004992 is 29940031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13004992.

It is not an unprimeable number, because it can be changed into a prime (13004993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448434 + ... + 448462.

It is an arithmetic number, because the mean of its divisors is an integer number (217170).

Almost surely, 2^13004992 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 13004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280).

13004992 is an abundant number, since it is smaller than the sum of its proper divisors (23479568).

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

13004992 is a wasteful number, since it uses less digits than its factorization.

13004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 13004992 is about 3606.2434748641. The cubic root of 13004992 is about 235.1635620045.

13004992 divided by its sum of digits (28) gives a palindrome (464464).

The spelling of 13004992 in words is "thirteen million, four thousand, nine hundred ninety-two".