295332768 has 72 divisors (see below), whose sum is σ = 841565088. Its totient is φ = 98243712.

The previous prime is 295332761. The next prime is 295332769. The reversal of 295332768 is 867233592.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (295332761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226005 + ... + 227307.

It is an arithmetic number, because the mean of its divisors is an integer number (11688404).

Almost surely, 2^295332768 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 295332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420782544).

295332768 is an abundant number, since it is smaller than the sum of its proper divisors (546232320).

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

295332768 is a wasteful number, since it uses less digits than its factorization.

295332768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2095 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 295332768 is about 17185.2485579930. The cubic root of 295332768 is about 665.9432356999.

It can be divided in two parts, 2953 and 32768, that added together give a square (35721 = 189²).

The spelling of 295332768 in words is "two hundred ninety-five million, three hundred thirty-two thousand, seven hundred sixty-eight".