964768 has 48 divisors (see below), whose sum is σ = 2237760. Its totient is φ = 400896.

The previous prime is 964757. The next prime is 964783. The reversal of 964768 is 867469.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 964768.

It is an unprimeable number.

964768 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 7 ways as a sum of consecutive naturals, for example, 13180 + ... + 13252.

It is an arithmetic number, because the mean of its divisors is an integer number (46620).

2⁹⁶⁴⁷⁶⁸ 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 964768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118880).

964768 is an abundant number, since it is smaller than the sum of its proper divisors (1272992).

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

964768 is a wasteful number, since it uses less digits than its factorization.

964768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 964768 is about 982.2260432304. The cubic root of 964768 is about 98.8115313788.

The spelling of 964768 in words is "nine hundred sixty-four thousand, seven hundred sixty-eight".