13748760 has 96 divisors (see below), whose sum is σ = 45143280. Its totient is φ = 3628800.

The previous prime is 13748759. The next prime is 13748771. The reversal of 13748760 is 6784731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65055 + ... + 65265.

Almost surely, 2^13748760 is an apocalyptic number.

13748760 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 13748760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22571640).

13748760 is an abundant number, since it is smaller than the sum of its proper divisors (31394520).

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

13748760 is a wasteful number, since it uses less digits than its factorization.

13748760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13748760 is about 3707.9320382121. The cubic root of 13748760 is about 239.5637909874.

The spelling of 13748760 in words is "thirteen million, seven hundred forty-eight thousand, seven hundred sixty".