13768224 has 24 divisors (see below), whose sum is σ = 36141840. Its totient is φ = 4589376.

The previous prime is 13768201. The next prime is 13768229. The reversal of 13768224 is 42286731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13768224² = 379127984228352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13768229) 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, 71614 + ... + 71805.

It is an arithmetic number, because the mean of its divisors is an integer number (1505910).

Almost surely, 2^13768224 is an apocalyptic number.

It is an amenable number.

13768224 is an abundant number, since it is smaller than the sum of its proper divisors (22373616).

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

13768224 is a wasteful number, since it uses less digits than its factorization.

13768224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143432 (or 143424 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 13768224 is about 3710.5557535226. Note that the first 3 decimals coincide. The cubic root of 13768224 is about 239.6767871403.

The spelling of 13768224 in words is "thirteen million, seven hundred sixty-eight thousand, two hundred twenty-four".