13774240 has 96 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 4967424.

The previous prime is 13774231. The next prime is 13774247. The reversal of 13774240 is 4247731.

It is a junction number, because it is equal to n+sod(n) for n = 13774199 and 13774208.

It is not an unprimeable number, because it can be changed into a prime (13774247) 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, 69822 + ... + 70018.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 2^13774240 is an apocalyptic number.

13774240 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 13774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

13774240 is an abundant number, since it is smaller than the sum of its proper divisors (22150880).

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

13774240 is a wasteful number, since it uses less digits than its factorization.

13774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 13774240 is about 3711.3663252231. The cubic root of 13774240 is about 239.7116908333.

Adding to 13774240 its product of nonzero digits (4704), we get a square (13778944 = 3712²).

The spelling of 13774240 in words is "thirteen million, seven hundred seventy-four thousand, two hundred forty".