964296 has 48 divisors (see below), whose sum is σ = 2667600. Its totient is φ = 314592.

The previous prime is 964289. The next prime is 964297. The reversal of 964296 is 692469.

964296 is a `hidden beast` number, since 9 + 642 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 964296.

It is not an unprimeable number, because it can be changed into a prime (964297) by changing a digit.

964296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4135 + ... + 4361.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2⁹⁶⁴²⁹⁶ 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 964296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333800).

964296 is an abundant number, since it is smaller than the sum of its proper divisors (1703304).

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

964296 is a wasteful number, since it uses less digits than its factorization.

964296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 964296 is about 981.9857432774. The cubic root of 964296 is about 98.7954146713.

The spelling of 964296 in words is "nine hundred sixty-four thousand, two hundred ninety-six".