16338560 has 96 divisors (see below), whose sum is σ = 45523620. Its totient is φ = 5591040.

The previous prime is 16338529. The next prime is 16338577. The reversal of 16338560 is 6583361.

It can be written as a sum of positive squares in 2 ways, for example, as 15808576 + 529984 = 3976^2 + 728^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31100 + ... + 31620.

Almost surely, 2^16338560 is an apocalyptic number.

16338560 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 16338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22761810).

16338560 is an abundant number, since it is smaller than the sum of its proper divisors (29185060).

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

16338560 is an equidigital number, since it uses as much as digits as its factorization.

16338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 16338560 is about 4042.0984649066. The cubic root of 16338560 is about 253.7491478370.

The spelling of 16338560 in words is "sixteen million, three hundred thirty-eight thousand, five hundred sixty".