65987168 has 48 divisors (see below), whose sum is σ = 141120000. Its totient is φ = 30191616.

The previous prime is 65987153. The next prime is 65987179. The reversal of 65987168 is 86178956.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52208 + ... + 53456.

It is an arithmetic number, because the mean of its divisors is an integer number (2940000).

Almost surely, 2^65987168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65987168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560000).

65987168 is an abundant number, since it is smaller than the sum of its proper divisors (75132832).

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

65987168 is a wasteful number, since it uses less digits than its factorization.

65987168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its digits is 725760, while the sum is 50.

The square root of 65987168 is about 8123.2486112392. The cubic root of 65987168 is about 404.0978098637.

The spelling of 65987168 in words is "sixty-five million, nine hundred eighty-seven thousand, one hundred sixty-eight".