13761240 has 64 divisors (see below), whose sum is σ = 42305760. Its totient is φ = 3578880.

The previous prime is 13761229. The next prime is 13761289. The reversal of 13761240 is 4216731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13761240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3522 + ... + 6318.

Almost surely, 2^13761240 is an apocalyptic number.

13761240 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 13761240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152880).

13761240 is an abundant number, since it is smaller than the sum of its proper divisors (28544520).

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

13761240 is a wasteful number, since it uses less digits than its factorization.

13761240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13761240 is about 3709.6145352314. The cubic root of 13761240 is about 239.6362545392.

Adding to 13761240 its reverse (4216731), we get a palindrome (17977971).

The spelling of 13761240 in words is "thirteen million, seven hundred sixty-one thousand, two hundred forty".