296820 has 72 divisors (see below), whose sum is σ = 963144. Its totient is φ = 73728.

The previous prime is 296819. The next prime is 296827. The reversal of 296820 is 28692.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 242064 = 234^2 + 492^2 .

It is a super-2 number, since 2×296820² = 176204224800, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 296820.

It is not an unprimeable number, because it can be changed into a prime (296827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3012 + ... + 3108.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2²⁹⁶⁸²⁰ is an apocalyptic number.

296820 is a gapful number since it is divisible by the number (20) 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 296820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572).

296820 is an abundant number, since it is smaller than the sum of its proper divisors (666324).

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

296820 is a wasteful number, since it uses less digits than its factorization.

296820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 296820 is about 544.8118941433. The cubic root of 296820 is about 66.7059213260.

The spelling of 296820 in words is "two hundred ninety-six thousand, eight hundred twenty".