16623648 has 72 divisors (see below), whose sum is σ = 47675628. Its totient is φ = 5494272.

The previous prime is 16623623. The next prime is 16623653. The reversal of 16623648 is 84632661.

16623648 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 3 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 5253264 = 3372^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

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, 56590 + ... + 56882.

Almost surely, 2^16623648 is an apocalyptic number.

16623648 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 16623648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23837814).

16623648 is an abundant number, since it is smaller than the sum of its proper divisors (31051980).

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

16623648 is a wasteful number, since it uses less digits than its factorization.

16623648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 16623648 is about 4077.2108113268. The cubic root of 16623648 is about 255.2165173745.

It can be divided in two parts, 16623 and 648, that added together give a palindrome (17271).

The spelling of 16623648 in words is "sixteen million, six hundred twenty-three thousand, six hundred forty-eight".