290080896 has 128 divisors (see below), whose sum is σ = 885980160. Its totient is φ = 82375680.

The previous prime is 290080891. The next prime is 290080897. The reversal of 290080896 is 698080092.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (290080891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835795 + ... + 836141.

It is an arithmetic number, because the mean of its divisors is an integer number (6921720).

Almost surely, 2^290080896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442990080).

290080896 is an abundant number, since it is smaller than the sum of its proper divisors (595899264).

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

290080896 is a wasteful number, since it uses less digits than its factorization.

290080896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 290080896 is about 17031.7613886527. The cubic root of 290080896 is about 661.9721361145.

The spelling of 290080896 in words is "two hundred ninety million, eighty thousand, eight hundred ninety-six".