16987152 has 80 divisors (see below), whose sum is σ = 54024320. Its totient is φ = 4478976.

The previous prime is 16987129. The next prime is 16987153. The reversal of 16987152 is 25178961.

It is a super-2 number, since 2×16987152² = 577126666142208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 16987152.

It is not an unprimeable number, because it can be changed into a prime (16987153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 6312.

It is an arithmetic number, because the mean of its divisors is an integer number (675304).

Almost surely, 2^16987152 is an apocalyptic number.

16987152 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 16987152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27012160).

16987152 is an abundant number, since it is smaller than the sum of its proper divisors (37037168).

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

16987152 is a wasteful number, since it uses less digits than its factorization.

16987152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 16987152 is about 4121.5472822716. The cubic root of 16987152 is about 257.0633666113.

The spelling of 16987152 in words is "sixteen million, nine hundred eighty-seven thousand, one hundred fifty-two".