968364 has 36 divisors (see below), whose sum is σ = 2517424. Its totient is φ = 313632.

The previous prime is 968353. The next prime is 968377. The reversal of 968364 is 463869.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969 + ... + 1695.

2⁹⁶⁸³⁶⁴ 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 968364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258712).

968364 is an abundant number, since it is smaller than the sum of its proper divisors (1549060).

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

968364 is a wasteful number, since it uses less digits than its factorization.

968364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 769 counting only the distinct ones).

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

The square root of 968364 is about 984.0548765186. The cubic root of 968364 is about 98.9341465937.

The spelling of 968364 in words is "nine hundred sixty-eight thousand, three hundred sixty-four".