964560 has 40 divisors (see below), whose sum is σ = 2990880. Its totient is φ = 257152.

The previous prime is 964559. The next prime is 964571. The reversal of 964560 is 65469.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) 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 (30).

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 964560.

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, 1770 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (74772).

2⁹⁶⁴⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

964560 is an abundant number, since it is smaller than the sum of its proper divisors (2026320).

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

964560 is a wasteful number, since it uses less digits than its factorization.

964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 964560 is about 982.1201555818. The cubic root of 964560 is about 98.8044297489.

It can be divided in two parts, 96 and 4560, that added together give a triangular number (4656 = T₉₆).

The spelling of 964560 in words is "nine hundred sixty-four thousand, five hundred sixty".