290920 has 32 divisors (see below), whose sum is σ = 748800. Its totient is φ = 99648.

The previous prime is 290897. The next prime is 290923. The reversal of 290920 is 29092.

It is a junction number, because it is equal to n+sod(n) for n = 290891 and 290900.

It is not an unprimeable number, because it can be changed into a prime (290923) by changing a digit.

290920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2²⁹⁰⁹²⁰ is an apocalyptic number.

290920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290920 is an abundant number, since it is smaller than the sum of its proper divisors (457880).

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

290920 is a wasteful number, since it uses less digits than its factorization.

290920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 290920 is about 539.3700028737. The cubic root of 290920 is about 66.2609807359.

The spelling of 290920 in words is "two hundred ninety thousand, nine hundred twenty".