13206440 has 64 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 4810752.

The previous prime is 13206421. The next prime is 13206449. The reversal of 13206440 is 4460231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2617924 + 10588516 = 1618^2 + 3254^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13206449) 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, 56564 + ... + 56796.

Almost surely, 2^13206440 is an apocalyptic number.

13206440 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 13206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

13206440 is an abundant number, since it is smaller than the sum of its proper divisors (19225960).

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

13206440 is a wasteful number, since it uses less digits than its factorization.

13206440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

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

The square root of 13206440 is about 3634.0665926755. The cubic root of 13206440 is about 236.3715778218.

Adding to 13206440 its reverse (4460231), we get a palindrome (17666671).

The spelling of 13206440 in words is "thirteen million, two hundred six thousand, four hundred forty".