964896 has 72 divisors (see below), whose sum is σ = 2787120. Its totient is φ = 291456.

The previous prime is 964889. The next prime is 964897. The reversal of 964896 is 698469.

It is a super-3 number, since 3×964896³ = 2695024842333585408, which contains 333 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (964897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41941 + ... + 41963.

It is an arithmetic number, because the mean of its divisors is an integer number (38710).

2⁹⁶⁴⁸⁹⁶ is an apocalyptic number.

964896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393560).

964896 is an abundant number, since it is smaller than the sum of its proper divisors (1822224).

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

964896 is a wasteful number, since it uses less digits than its factorization.

964896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 964896 is about 982.2911991869. The cubic root of 964896 is about 98.8159011052.

The spelling of 964896 in words is "nine hundred sixty-four thousand, eight hundred ninety-six".