16338120 has 64 divisors (see below), whose sum is σ = 49360320. Its totient is φ = 4326144.

The previous prime is 16338109. The next prime is 16338121. The reversal of 16338120 is 2183361.

16338120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (16338121) 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, 20367 + ... + 21153.

It is an arithmetic number, because the mean of its divisors is an integer number (771255).

Almost surely, 2^16338120 is an apocalyptic number.

16338120 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 16338120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24680160).

16338120 is an abundant number, since it is smaller than the sum of its proper divisors (33022200).

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

16338120 is a wasteful number, since it uses less digits than its factorization.

16338120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16338120 is about 4042.0440373653. The cubic root of 16338120 is about 253.7468699817.

It can be divided in two parts, 163 and 38120, that added together give a palindrome (38283).

The spelling of 16338120 in words is "sixteen million, three hundred thirty-eight thousand, one hundred twenty".