290206368 has 96 divisors (see below), whose sum is σ = 860932800. Its totient is φ = 95079168.

The previous prime is 290206339. The next prime is 290206369. The reversal of 290206368 is 863602092.

290206368 is a `hidden beast` number, since 2 + 90 + 206 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (290206369) 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, 48130 + ... + 53822.

It is an arithmetic number, because the mean of its divisors is an integer number (8968050).

Almost surely, 2^290206368 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 290206368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430466400).

290206368 is an abundant number, since it is smaller than the sum of its proper divisors (570726432).

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

290206368 is a wasteful number, since it uses less digits than its factorization.

290206368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 290206368 is about 17035.4444614750. Note that the first 4 decimals coincide. The cubic root of 290206368 is about 662.0675658106.

The spelling of 290206368 in words is "two hundred ninety million, two hundred six thousand, three hundred sixty-eight".