290120320 has 128 divisors (see below), whose sum is σ = 818611200. Its totient is φ = 96215040.

The previous prime is 290120279. The next prime is 290120339. The reversal of 290120320 is 23021092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137836 + ... + 139924.

It is an arithmetic number, because the mean of its divisors is an integer number (6395400).

Almost surely, 2^290120320 is an apocalyptic number.

290120320 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 290120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409305600).

290120320 is an abundant number, since it is smaller than the sum of its proper divisors (528490880).

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

290120320 is a wasteful number, since it uses less digits than its factorization.

290120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 290120320 is about 17032.9187164150. The cubic root of 290120320 is about 662.0021236199.

The spelling of 290120320 in words is "two hundred ninety million, one hundred twenty thousand, three hundred twenty".