16801224 has 64 divisors (see below), whose sum is σ = 47831040. Its totient is φ = 4868160.

The previous prime is 16801223. The next prime is 16801243. The reversal of 16801224 is 42210861.

It is a super-2 number, since 2×16801224² = 564562255796352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 16801194 and 16801203.

It is not an unprimeable number, because it can be changed into a prime (16801223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4689 + ... + 7455.

It is an arithmetic number, because the mean of its divisors is an integer number (747360).

Almost surely, 2^16801224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16801224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23915520).

16801224 is an abundant number, since it is smaller than the sum of its proper divisors (31029816).

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

16801224 is a wasteful number, since it uses less digits than its factorization.

16801224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 16801224 is about 4098.9296163755. The cubic root of 16801224 is about 256.1220528024.

The spelling of 16801224 in words is "sixteen million, eight hundred one thousand, two hundred twenty-four".