964960 has 48 divisors (see below), whose sum is σ = 2355696. Its totient is φ = 373248.

The previous prime is 964939. The next prime is 964967. The reversal of 964960 is 69469.

964960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×964960² = 1862295603200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964967) by changing a digit.

964960 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, 5839 + ... + 6001.

It is an arithmetic number, because the mean of its divisors is an integer number (49077).

2⁹⁶⁴⁹⁶⁰ 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 964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177848).

964960 is an abundant number, since it is smaller than the sum of its proper divisors (1390736).

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

964960 is a wasteful number, since it uses less digits than its factorization.

964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 964960 is about 982.3237755445. The cubic root of 964960 is about 98.8180858235.

The spelling of 964960 in words is "nine hundred sixty-four thousand, nine hundred sixty".