16087968 has 72 divisors (see below), whose sum is σ = 49280868. Its totient is φ = 4948992.

The previous prime is 16087921. The next prime is 16087969. The reversal of 16087968 is 86978061.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15586704 + 501264 = 3948^2 + 708^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16087969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1596 + ... + 5892.

Almost surely, 2^16087968 is an apocalyptic number.

16087968 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 16087968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24640434).

16087968 is an abundant number, since it is smaller than the sum of its proper divisors (33192900).

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

16087968 is a wasteful number, since it uses less digits than its factorization.

16087968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4315 counting only the distinct ones).

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

The square root of 16087968 is about 4010.9809274042. The cubic root of 16087968 is about 252.4451692857.

The spelling of 16087968 in words is "sixteen million, eighty-seven thousand, nine hundred sixty-eight".