13040000 has 80 divisors (see below), whose sum is σ = 32661420. Its totient is φ = 5184000.

The previous prime is 13039993. The next prime is 13040029. The reversal of 13040000 is 4031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 13040000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79919 + ... + 80081.

Almost surely, 2^13040000 is an apocalyptic number.

13040000 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 13040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330710).

13040000 is an abundant number, since it is smaller than the sum of its proper divisors (19621420).

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

13040000 is an frugal number, since it uses more digits than its factorization.

13040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13040000 is about 3611.0940170536. The cubic root of 13040000 is about 235.3743843799.

Adding to 13040000 its reverse (4031), we get a palindrome (13044031).

The spelling of 13040000 in words is "thirteen million, forty thousand".