13738640 has 20 divisors (see below), whose sum is σ = 31942524. Its totient is φ = 5495424.

The previous prime is 13738639. The next prime is 13738643. The reversal of 13738640 is 4683731.

It can be written as a sum of positive squares in 2 ways, for example, as 8667136 + 5071504 = 2944^2 + 2252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13738597 and 13738606.

It is not an unprimeable number, because it can be changed into a prime (13738643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85787 + ... + 85946.

Almost surely, 2^13738640 is an apocalyptic number.

13738640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13738640 is an abundant number, since it is smaller than the sum of its proper divisors (18203884).

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

13738640 is a wasteful number, since it uses less digits than its factorization.

13738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171746 (or 171740 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 13738640 is about 3706.5671449469. The cubic root of 13738640 is about 239.5049982758.

The spelling of 13738640 in words is "thirteen million, seven hundred thirty-eight thousand, six hundred forty".