13742640 has 60 divisors (see below), whose sum is σ = 46154784. Its totient is φ = 3664512.

The previous prime is 13742639. The next prime is 13742657. The reversal of 13742640 is 4624731.

13742640 is a `hidden beast` number, since 13 + 7 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8824 + ... + 10263.

Almost surely, 2^13742640 is an apocalyptic number.

13742640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13742640 is an abundant number, since it is smaller than the sum of its proper divisors (32412144).

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

13742640 is a wasteful number, since it uses less digits than its factorization.

13742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19106 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13742640 is about 3707.1066885106. The cubic root of 13742640 is about 239.5282399512.

The spelling of 13742640 in words is "thirteen million, seven hundred forty-two thousand, six hundred forty".