291960 has 48 divisors (see below), whose sum is σ = 950040. Its totient is φ = 77760.

The previous prime is 291923. The next prime is 291971. The reversal of 291960 is 69192.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 291960.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 765.

2²⁹¹⁹⁶⁰ is an apocalyptic number.

291960 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 291960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475020).

291960 is an abundant number, since it is smaller than the sum of its proper divisors (658080).

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

291960 is a wasteful number, since it uses less digits than its factorization.

291960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 291960 is about 540.3332305161. Note that the first 3 decimals coincide. The cubic root of 291960 is about 66.3398448753.

The spelling of 291960 in words is "two hundred ninety-one thousand, nine hundred sixty".