964368 has 60 divisors (see below), whose sum is σ = 2787148. Its totient is φ = 311040.

The previous prime is 964363. The next prime is 964373. The reversal of 964368 is 863469.

964368 is a `hidden beast` number, since 9 + 643 + 6 + 8 = 666.

964368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (964363) and next prime (964373).

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 589824 = 612^2 + 768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (964363) by changing a digit.

964368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5238 + ... + 5418.

2⁹⁶⁴³⁶⁸ 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 964368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393574).

964368 is an abundant number, since it is smaller than the sum of its proper divisors (1822780).

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

964368 is a wasteful number, since it uses less digits than its factorization.

964368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 964368 is about 982.0224030031. The cubic root of 964368 is about 98.7978734920.

The spelling of 964368 in words is "nine hundred sixty-four thousand, three hundred sixty-eight".