16887960 has 128 divisors (see below), whose sum is σ = 59328000. Its totient is φ = 4261248.

The previous prime is 16887931. The next prime is 16887961. The reversal of 16887960 is 6978861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16887961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20109 + ... + 20931.

It is an arithmetic number, because the mean of its divisors is an integer number (463500).

Almost surely, 2^16887960 is an apocalyptic number.

16887960 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 16887960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29664000).

16887960 is an abundant number, since it is smaller than the sum of its proper divisors (42440040).

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

16887960 is a wasteful number, since it uses less digits than its factorization.

16887960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 16887960 is about 4109.4963195019. The cubic root of 16887960 is about 256.5620382753.

Subtracting from 16887960 its reverse (6978861), we obtain a palindrome (9909099).

The spelling of 16887960 in words is "sixteen million, eight hundred eighty-seven thousand, nine hundred sixty".