299820 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 75456.

The previous prime is 299807. The next prime is 299843. The reversal of 299820 is 28992.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 13.

It is an unprimeable number.

299820 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, 1009 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2²⁹⁹⁸²⁰ is an apocalyptic number.

299820 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 299820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

299820 is an abundant number, since it is smaller than the sum of its proper divisors (587220).

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

299820 is a wasteful number, since it uses less digits than its factorization.

299820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 299820 is about 547.5582160830. The cubic root of 299820 is about 66.9299036706.

The spelling of 299820 in words is "two hundred ninety-nine thousand, eight hundred twenty".