16875648 has 128 divisors (see below), whose sum is σ = 52632000. Its totient is φ = 5308416.

The previous prime is 16875647. The next prime is 16875673. The reversal of 16875648 is 84657861.

It is a happy number.

16875648 is a `hidden beast` number, since 1 + 6 + 87 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (16875647) 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, 65536 + ... + 65792.

Almost surely, 2^16875648 is an apocalyptic number.

16875648 is a gapful number since it is divisible by the number (18) 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 16875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316000).

16875648 is an abundant number, since it is smaller than the sum of its proper divisors (35756352).

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

16875648 is a wasteful number, since it uses less digits than its factorization.

16875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 16875648 is about 4107.9980525799. The cubic root of 16875648 is about 256.4996751133.

The spelling of 16875648 in words is "sixteen million, eight hundred seventy-five thousand, six hundred forty-eight".