13420640 has 48 divisors (see below), whose sum is σ = 32577552. Its totient is φ = 5220864.

The previous prime is 13420637. The next prime is 13420643. The reversal of 13420640 is 4602431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13420637) and next prime (13420643).

It is a super-2 number, since 2×13420640² = 360227156019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420643) 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, 4787 + ... + 7053.

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

Almost surely, 2^13420640 is an apocalyptic number.

13420640 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 13420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288776).

13420640 is an abundant number, since it is smaller than the sum of its proper divisors (19156912).

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

13420640 is a wasteful number, since it uses less digits than its factorization.

13420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 13420640 is about 3663.4191679359. The cubic root of 13420640 is about 237.6426622105.

The spelling of 13420640 in words is "thirteen million, four hundred twenty thousand, six hundred forty".