291980268 has 48 divisors (see below), whose sum is σ = 760072320. Its totient is φ = 96930000.

The previous prime is 291980263. The next prime is 291980317. The reversal of 291980268 is 862089192.

It is not an unprimeable number, because it can be changed into a prime (291980263) 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, 21723 + ... + 32493.

It is an arithmetic number, because the mean of its divisors is an integer number (15834840).

Almost surely, 2^291980268 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 291980268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380036160).

291980268 is an abundant number, since it is smaller than the sum of its proper divisors (468092052).

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

291980268 is a wasteful number, since it uses less digits than its factorization.

291980268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 291980268 is about 17087.4301169017. The cubic root of 291980268 is about 663.4137995419.

The spelling of 291980268 in words is "two hundred ninety-one million, nine hundred eighty thousand, two hundred sixty-eight".