13040640 has 132 divisors (see below), whose sum is σ = 45345144. Its totient is φ = 3465216.

The previous prime is 13040639. The next prime is 13040659. The reversal of 13040640 is 4604031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45939 + ... + 46221.

Almost surely, 2^13040640 is an apocalyptic number.

13040640 is a gapful number since it is divisible by the number (10) 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 13040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22672572).

13040640 is an abundant number, since it is smaller than the sum of its proper divisors (32304504).

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

13040640 is a wasteful number, since it uses less digits than its factorization.

13040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13040640 is about 3611.1826317704. The cubic root of 13040640 is about 235.3782350226.

Adding to 13040640 its reverse (4604031), we get a palindrome (17644671).

The spelling of 13040640 in words is "thirteen million, forty thousand, six hundred forty".