13640328 has 144 divisors (see below), whose sum is σ = 42822000. Its totient is φ = 3908736.

The previous prime is 13640321. The next prime is 13640339. The reversal of 13640328 is 82304631.

It is a happy number.

13640328 is a `hidden beast` number, since 13 + 640 + 3 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13640321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231163 + ... + 231221.

It is an arithmetic number, because the mean of its divisors is an integer number (297375).

Almost surely, 2^13640328 is an apocalyptic number.

13640328 is a gapful number since it is divisible by the number (18) 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 13640328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21411000).

13640328 is an abundant number, since it is smaller than the sum of its proper divisors (29181672).

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

13640328 is a wasteful number, since it uses less digits than its factorization.

13640328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13640328 is about 3693.2814677465. The cubic root of 13640328 is about 238.9323408090.

Adding to 13640328 its reverse (82304631), we get a palindrome (95944959).

The spelling of 13640328 in words is "thirteen million, six hundred forty thousand, three hundred twenty-eight".