13009488 has 80 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 4016128.

The previous prime is 13009463. The next prime is 13009489. The reversal of 13009488 is 88490031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87238 + ... + 87386.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 2^13009488 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 13009488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

13009488 is an abundant number, since it is smaller than the sum of its proper divisors (23148912).

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

13009488 is a wasteful number, since it uses less digits than its factorization.

13009488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13009488 is about 3606.8667843434. The cubic root of 13009488 is about 235.1906586137.

The spelling of 13009488 in words is "thirteen million, nine thousand, four hundred eighty-eight".