13020640 has 48 divisors (see below), whose sum is σ = 32577552. Its totient is φ = 4900864.

The previous prime is 13020629. The next prime is 13020641. The reversal of 13020640 is 4602031.

13020640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 5113.

It is an arithmetic number, because the mean of its divisors is an integer number (678699).

Almost surely, 2^13020640 is an apocalyptic number.

13020640 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 13020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288776).

13020640 is an abundant number, since it is smaller than the sum of its proper divisors (19556912).

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

13020640 is a wasteful number, since it uses less digits than its factorization.

13020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13020640 is about 3608.4123932832. The cubic root of 13020640 is about 235.2578428392.

Adding to 13020640 its reverse (4602031), we get a palindrome (17622671).

The spelling of 13020640 in words is "thirteen million, twenty thousand, six hundred forty".