13766320 has 20 divisors (see below), whose sum is σ = 32006880. Its totient is φ = 5506496.

The previous prime is 13766287. The next prime is 13766323. The reversal of 13766320 is 2366731.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13766323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85960 + ... + 86119.

It is an arithmetic number, because the mean of its divisors is an integer number (1600344).

Almost surely, 2^13766320 is an apocalyptic number.

13766320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13766320 is an abundant number, since it is smaller than the sum of its proper divisors (18240560).

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

13766320 is a wasteful number, since it uses less digits than its factorization.

13766320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172092 (or 172086 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 13766320 is about 3710.2991793116. The cubic root of 13766320 is about 239.6657383747.

The spelling of 13766320 in words is "thirteen million, seven hundred sixty-six thousand, three hundred twenty".