290128560 has 80 divisors (see below), whose sum is σ = 908379360. Its totient is φ = 76595200.

The previous prime is 290128529. The next prime is 290128583. The reversal of 290128560 is 65821092.

It is a tau number, because it is divible by the number of its divisors (80).

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, 18256 + ... + 30224.

It is an arithmetic number, because the mean of its divisors is an integer number (11354742).

Almost surely, 2^290128560 is an apocalyptic number.

290128560 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 290128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454189680).

290128560 is an abundant number, since it is smaller than the sum of its proper divisors (618250800).

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

290128560 is a wasteful number, since it uses less digits than its factorization.

290128560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12086 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 290128560 is about 17033.1605992546. The cubic root of 290128560 is about 662.0083909574.

The spelling of 290128560 in words is "two hundred ninety million, one hundred twenty-eight thousand, five hundred sixty".