290720 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 109824.

The previous prime is 290711. The next prime is 290737. The reversal of 290720 is 27092.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 290692 and 290701.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290720.

It is an unprimeable number.

290720 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 7 ways as a sum of consecutive naturals, for example, 3641 + ... + 3719.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁹⁰⁷²⁰ is an apocalyptic number.

290720 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 290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

290720 is an abundant number, since it is smaller than the sum of its proper divisors (435040).

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

290720 is a wasteful number, since it uses less digits than its factorization.

290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 290720 is about 539.1845695121. The cubic root of 290720 is about 66.2457930163.

The spelling of 290720 in words is "two hundred ninety thousand, seven hundred twenty".