296838 has 32 divisors (see below), whose sum is σ = 691200. Its totient is φ = 94248.

The previous prime is 296833. The next prime is 296843. The reversal of 296838 is 838692.

It is an interprime number because it is at equal distance from previous prime (296833) and next prime (296843).

It is a super-2 number, since 2×296838² = 176225596488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296831) by changing a digit.

296838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²⁹⁶⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

296838 is an abundant number, since it is smaller than the sum of its proper divisors (394362).

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

296838 is a wasteful number, since it uses less digits than its factorization.

296838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 296838 is about 544.8284133560. The cubic root of 296838 is about 66.7072697103.

The spelling of 296838 in words is "two hundred ninety-six thousand, eight hundred thirty-eight".