64368 has 40 divisors (see below), whose sum is σ = 186000. Its totient is φ = 21312.

The previous prime is 64333. The next prime is 64373. The reversal of 64368 is 86346.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64368.

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, 358 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (4650).

2⁶⁴³⁶⁸ 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 64368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93000).

64368 is an abundant number, since it is smaller than the sum of its proper divisors (121632).

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

64368 is a wasteful number, since it uses less digits than its factorization.

64368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64368 is about 253.7084941424. The cubic root of 64368 is about 40.0765201898.

The spelling of 64368 in words is "sixty-four thousand, three hundred sixty-eight".