16528960 has 112 divisors (see below), whose sum is σ = 46232064. Its totient is φ = 5511168.

The previous prime is 16528957. The next prime is 16528961. The reversal of 16528960 is 6982561.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (16528961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105202 + ... + 105358.

Almost surely, 2^16528960 is an apocalyptic number.

16528960 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 16528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23116032).

16528960 is an abundant number, since it is smaller than the sum of its proper divisors (29703104).

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

16528960 is a wasteful number, since it uses less digits than its factorization.

16528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 16528960 is about 4065.5823691078. The cubic root of 16528960 is about 254.7310248547.

The spelling of 16528960 in words is "sixteen million, five hundred twenty-eight thousand, nine hundred sixty".