291072264 has 64 divisors (see below), whose sum is σ = 833725440. Its totient is φ = 82954560.

The previous prime is 291072263. The next prime is 291072307. The reversal of 291072264 is 462270192.

It is not an unprimeable number, because it can be changed into a prime (291072263) 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, 72469 + ... + 76379.

It is an arithmetic number, because the mean of its divisors is an integer number (13026960).

Almost surely, 2^291072264 is an apocalyptic number.

291072264 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 291072264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416862720).

291072264 is an abundant number, since it is smaller than the sum of its proper divisors (542653176).

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

291072264 is a wasteful number, since it uses less digits than its factorization.

291072264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 291072264 is about 17060.8400731031. The cubic root of 291072264 is about 662.7253878432.

The spelling of 291072264 in words is "two hundred ninety-one million, seventy-two thousand, two hundred sixty-four".