13766340 has 96 divisors (see below), whose sum is σ = 44755200. Its totient is φ = 3096576.

The previous prime is 13766327. The next prime is 13766341. The reversal of 13766340 is 4366731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13766298 and 13766307.

It is not an unprimeable number, because it can be changed into a prime (13766341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30436 + ... + 30884.

It is an arithmetic number, because the mean of its divisors is an integer number (466200).

Almost surely, 2^13766340 is an apocalyptic number.

13766340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377600).

13766340 is an abundant number, since it is smaller than the sum of its proper divisors (30988860).

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

13766340 is a wasteful number, since it uses less digits than its factorization.

13766340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 13766340 is about 3710.3018745110. The cubic root of 13766340 is about 239.6658544384.

The spelling of 13766340 in words is "thirteen million, seven hundred sixty-six thousand, three hundred forty".