291088 has 40 divisors (see below), whose sum is σ = 678528. Its totient is φ = 118272.

The previous prime is 291077. The next prime is 291089. The reversal of 291088 is 880192.

291088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (291089) by changing a digit.

291088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2520 + ... + 2632.

2²⁹¹⁰⁸⁸ is an apocalyptic number.

291088 is a gapful number since it is divisible by the number (28) 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 291088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264).

291088 is an abundant number, since it is smaller than the sum of its proper divisors (387440).

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

291088 is a wasteful number, since it uses less digits than its factorization.

291088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 291088 is about 539.5257176447. The cubic root of 291088 is about 66.2737330420.

The spelling of 291088 in words is "two hundred ninety-one thousand, eighty-eight".