13742880 has 48 divisors (see below), whose sum is σ = 43291584. Its totient is φ = 3664640.

The previous prime is 13742849. The next prime is 13742887. The reversal of 13742880 is 8824731.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13742887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13836 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (901908).

Almost surely, 2^13742880 is an apocalyptic number.

13742880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13742880 is an abundant number, since it is smaller than the sum of its proper divisors (29548704).

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

13742880 is a wasteful number, since it uses less digits than its factorization.

13742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28649 (or 28641 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 13742880 is about 3707.1390586273. The cubic root of 13742880 is about 239.5296343083.

The spelling of 13742880 in words is "thirteen million, seven hundred forty-two thousand, eight hundred eighty".