964000 has 48 divisors (see below), whose sum is σ = 2378376. Its totient is φ = 384000.

The previous prime is 963979. The next prime is 964009. The reversal of 964000 is 469.

It is a happy number.

964000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 559504 = 636^2 + 748^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (964009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3880 + ... + 4120.

2⁹⁶⁴⁰⁰⁰ 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 964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189188).

964000 is an abundant number, since it is smaller than the sum of its proper divisors (1414376).

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

964000 is a wasteful number, since it uses less digits than its factorization.

964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 964000 is about 981.8350166907. The cubic root of 964000 is about 98.7853049003.

Adding to 964000 its reverse (469), we get a palindrome (964469).

It can be divided in two parts, 96 and 4000, that added together give a 12-th power (4096 = 2¹²).

The spelling of 964000 in words is "nine hundred sixty-four thousand".