290081968 has 80 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 124035840.

The previous prime is 290081963. The next prime is 290081969. The reversal of 290081968 is 869180092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (290081963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745518 + ... + 745906.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2^290081968 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 290081968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

290081968 is an abundant number, since it is smaller than the sum of its proper divisors (359876432).

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

290081968 is a wasteful number, since it uses less digits than its factorization.

290081968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 290081968 is about 17031.7928592383. The cubic root of 290081968 is about 661.9729515574.

It can be divided in two parts, 29008 and 1968, that added together give a square (30976 = 176²).

The spelling of 290081968 in words is "two hundred ninety million, eighty-one thousand, nine hundred sixty-eight".