13740084 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 4273920.

The previous prime is 13740053. The next prime is 13740107. The reversal of 13740084 is 48004731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128359 + ... + 128465.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^13740084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13740084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

13740084 is an abundant number, since it is smaller than the sum of its proper divisors (24362316).

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

13740084 is a wasteful number, since it uses less digits than its factorization.

13740084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13740084 is about 3706.7619292315. The cubic root of 13740084 is about 239.5133890409.

The spelling of 13740084 in words is "thirteen million, seven hundred forty thousand, eighty-four".