291360 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 77568.

The previous prime is 291359. The next prime is 291367. The reversal of 291360 is 63192.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (291367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2²⁹¹³⁶⁰ is an apocalyptic number.

291360 is a gapful number since it is divisible by the number (20) 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 291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

291360 is an abundant number, since it is smaller than the sum of its proper divisors (627936).

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

291360 is a wasteful number, since it uses less digits than its factorization.

291360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 291360 is about 539.7777320342. Note that the first 4 decimals coincide. The cubic root of 291360 is about 66.2943692340.

The spelling of 291360 in words is "two hundred ninety-one thousand, three hundred sixty".