13787540 has 48 divisors (see below), whose sum is σ = 32833920. Its totient is φ = 4821120.

The previous prime is 13787539. The next prime is 13787551. The reversal of 13787540 is 4578731.

It is a self number, because there is not a number n which added to its sum of digits gives 13787540.

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, 3545 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (684040).

Almost surely, 2^13787540 is an apocalyptic number.

13787540 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 13787540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416960).

13787540 is an abundant number, since it is smaller than the sum of its proper divisors (19046380).

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

13787540 is a wasteful number, since it uses less digits than its factorization.

13787540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 13787540 is about 3713.1576858518. The cubic root of 13787540 is about 239.7888188613.

The spelling of 13787540 in words is "thirteen million, seven hundred eighty-seven thousand, five hundred forty".