291056064 has 112 divisors (see below), whose sum is σ = 858133920. Its totient is φ = 86446080.

The previous prime is 291056057. The next prime is 291056069. The reversal of 291056064 is 460650192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291056069) 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, 70374 + ... + 74394.

It is an arithmetic number, because the mean of its divisors is an integer number (7661910).

Almost surely, 2^291056064 is an apocalyptic number.

291056064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429066960).

291056064 is an abundant number, since it is smaller than the sum of its proper divisors (567077856).

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

291056064 is a wasteful number, since it uses less digits than its factorization.

291056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 291056064 is about 17060.3652950340. The cubic root of 291056064 is about 662.7130926714.

The spelling of 291056064 in words is "two hundred ninety-one million, fifty-six thousand, sixty-four".