295966720 has 96 divisors (see below), whose sum is σ = 811792800. Its totient is φ = 101449728.

The previous prime is 295966711. The next prime is 295966729. The reversal of 295966720 is 27669592.

It is an interprime number because it is at equal distance from previous prime (295966711) and next prime (295966729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295966729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69616 + ... + 73744.

It is an arithmetic number, because the mean of its divisors is an integer number (8456175).

Almost surely, 2^295966720 is an apocalyptic number.

295966720 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 295966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405896400).

295966720 is an abundant number, since it is smaller than the sum of its proper divisors (515826080).

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

295966720 is an equidigital number, since it uses as much as digits as its factorization.

295966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 295966720 is about 17203.6833265438. The cubic root of 295966720 is about 666.4193927392.

The spelling of 295966720 in words is "two hundred ninety-five million, nine hundred sixty-six thousand, seven hundred twenty".