291085056 has 144 divisors (see below), whose sum is σ = 898705920. Its totient is φ = 92759040.

The previous prime is 291085049. The next prime is 291085057. The reversal of 291085056 is 650580192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 291085056.

It is not an unprimeable number, because it can be changed into a prime (291085057) 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, 158061 + ... + 159891.

Almost surely, 2^291085056 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 291085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449352960).

291085056 is an abundant number, since it is smaller than the sum of its proper divisors (607620864).

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

291085056 is a wasteful number, since it uses less digits than its factorization.

291085056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 291085056 is about 17061.2149625986. The cubic root of 291085056 is about 662.7350961528.

The spelling of 291085056 in words is "two hundred ninety-one million, eighty-five thousand, fifty-six".