13742784 has 140 divisors (see below), whose sum is σ = 44625768. Its totient is φ = 4147200.

The previous prime is 13742777. The next prime is 13742803. The reversal of 13742784 is 48724731.

It is a happy number.

It is a super-2 number, since 2×13742784² = 377728224141312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56904 + ... + 57144.

Almost surely, 2^13742784 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 13742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22312884).

13742784 is an abundant number, since it is smaller than the sum of its proper divisors (30882984).

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

13742784 is a wasteful number, since it uses less digits than its factorization.

13742784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 13742784 is about 3707.1261106145. The cubic root of 13742784 is about 239.5290765674.

The spelling of 13742784 in words is "thirteen million, seven hundred forty-two thousand, seven hundred eighty-four".