296964 has 36 divisors (see below), whose sum is σ = 767676. Its totient is φ = 96768.

The previous prime is 296941. The next prime is 296969. The reversal of 296964 is 469692.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 230400 = 258^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (296969) 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, 2572 + ... + 2684.

2²⁹⁶⁹⁶⁴ 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 296964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383838).

296964 is an abundant number, since it is smaller than the sum of its proper divisors (470712).

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

296964 is a wasteful number, since it uses less digits than its factorization.

296964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

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

The square root of 296964 is about 544.9440338237. The cubic root of 296964 is about 66.7167068747.

The spelling of 296964 in words is "two hundred ninety-six thousand, nine hundred sixty-four".