296496 has 60 divisors (see below), whose sum is σ = 870480. Its totient is φ = 94080.

The previous prime is 296489. The next prime is 296503. The reversal of 296496 is 694692.

296496 is a `hidden beast` number, since 2 + 9 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (296489) and next prime (296503).

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 a d-powerful number, because it can be written as 2³ + 9² + 4⁷ + 6 + 9² + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 296496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4141 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2²⁹⁶⁴⁹⁶ 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 296496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240).

296496 is an abundant number, since it is smaller than the sum of its proper divisors (573984).

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

296496 is a wasteful number, since it uses less digits than its factorization.

296496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

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

The square root of 296496 is about 544.5144626178. The cubic root of 296496 is about 66.6816410807.

The spelling of 296496 in words is "two hundred ninety-six thousand, four hundred ninety-six".