16643952 has 120 divisors (see below), whose sum is σ = 53215344. Its totient is φ = 4810752.

The previous prime is 16643947. The next prime is 16643971. The reversal of 16643952 is 25934661.

It is a happy number.

16643952 is a `hidden beast` number, since 1 + 6 + 643 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×16643952² = 554042276356608, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31563 + ... + 32085.

Almost surely, 2^16643952 is an apocalyptic number.

16643952 is a gapful number since it is divisible by the number (12) 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 16643952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26607672).

16643952 is an abundant number, since it is smaller than the sum of its proper divisors (36571392).

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

16643952 is a wasteful number, since it uses less digits than its factorization.

16643952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 16643952 is about 4079.6999889698. The cubic root of 16643952 is about 255.3203816182.

The spelling of 16643952 in words is "sixteen million, six hundred forty-three thousand, nine hundred fifty-two".