13766220 has 192 divisors, whose sum is σ = 48263040. Its totient is φ = 3234816.

The previous prime is 13766197. The next prime is 13766227. The reversal of 13766220 is 2266731.

It is a happy number.

13766220 is a `hidden beast` number, since 1 + 37 + 6 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13766227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259714 + ... + 259766.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 2^13766220 is an apocalyptic number.

13766220 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 13766220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

13766220 is an abundant number, since it is smaller than the sum of its proper divisors (34496820).

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

13766220 is a wasteful number, since it uses less digits than its factorization.

13766220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13766220 is about 3710.2857032849. The cubic root of 13766220 is about 239.6651580542.

The spelling of 13766220 in words is "thirteen million, seven hundred sixty-six thousand, two hundred twenty".