13008996 has 216 divisors, whose sum is σ = 46597824. Its totient is φ = 2954880.

The previous prime is 13008979. The next prime is 13008997. The reversal of 13008996 is 69980031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13008996.

It is not an unprimeable number, because it can be changed into a prime (13008997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 684675 + ... + 684693.

Almost surely, 2^13008996 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 13008996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

13008996 is an abundant number, since it is smaller than the sum of its proper divisors (33588828).

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

13008996 is a wasteful number, since it uses less digits than its factorization.

13008996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13008996 is about 3606.7985804589. The cubic root of 13008996 is about 235.1876937196.

It can be divided in two parts, 1300 and 8996, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 13008996 in words is "thirteen million, eight thousand, nine hundred ninety-six".