290082816 has 208 divisors, whose sum is σ = 893801920. Its totient is φ = 92897280.

The previous prime is 290082809. The next prime is 290082817. The reversal of 290082816 is 618280092.

290082816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290082817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4755426 + ... + 4755486.

Almost surely, 2^290082816 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 290082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446900960).

290082816 is an abundant number, since it is smaller than the sum of its proper divisors (603719104).

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

290082816 is an equidigital number, since it uses as much as digits as its factorization.

290082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 290082816 is about 17031.8177538394. The cubic root of 290082816 is about 661.9735966079.

The spelling of 290082816 in words is "two hundred ninety million, eighty-two thousand, eight hundred sixteen".