16643120 has 60 divisors (see below), whose sum is σ = 41934816. Its totient is φ = 6140160.

The previous prime is 16643117. The next prime is 16643177. The reversal of 16643120 is 2134661.

16643120 = 226² + 227² + ... + 394².

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12905 + ... + 14135.

Almost surely, 2^16643120 is an apocalyptic number.

16643120 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 16643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20967408).

16643120 is an abundant number, since it is smaller than the sum of its proper divisors (25291696).

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

16643120 is a wasteful number, since it uses less digits than its factorization.

16643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 16643120 is about 4079.5980194132. The cubic root of 16643120 is about 255.3161272180.

Adding to 16643120 its reverse (2134661), we get a palindrome (18777781).

The spelling of 16643120 in words is "sixteen million, six hundred forty-three thousand, one hundred twenty".