66368 has 28 divisors (see below), whose sum is σ = 141732. Its totient is φ = 30720.

The previous prime is 66361. The next prime is 66373. The reversal of 66368 is 86366.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 43264 = 152^2 + 208^2 .

It is a super-2 number, since 2×66368² = 8809422848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1058 + ... + 1118.

2⁶⁶³⁶⁸ is an apocalyptic number.

66368 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 66368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70866).

66368 is an abundant number, since it is smaller than the sum of its proper divisors (75364).

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

66368 is a wasteful number, since it uses less digits than its factorization.

66368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 66368 is about 257.6198750097. The cubic root of 66368 is about 40.4873709544.

It can be divided in two parts, 66 and 368, that added together give a palindrome (434).

The spelling of 66368 in words is "sixty-six thousand, three hundred sixty-eight".