65387168 has 144 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 23869440.

The previous prime is 65387167. The next prime is 65387173. The reversal of 65387168 is 86178356.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (65387167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293105 + ... + 293327.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 2^65387168 is an apocalyptic number.

65387168 is a gapful number since it is divisible by the number (68) 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 65387168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

65387168 is an abundant number, since it is smaller than the sum of its proper divisors (108359776).

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

65387168 is a wasteful number, since it uses less digits than its factorization.

65387168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 65387168 is about 8086.2332392777. The cubic root of 65387168 is about 402.8693018862.

The spelling of 65387168 in words is "sixty-five million, three hundred eighty-seven thousand, one hundred sixty-eight".