295268064 has 192 divisors, whose sum is σ = 969099264. Its totient is φ = 76640256.

The previous prime is 295268063. The next prime is 295268081. The reversal of 295268064 is 460862592.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295268063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637497 + ... + 637959.

It is an arithmetic number, because the mean of its divisors is an integer number (5047392).

Almost surely, 2^295268064 is an apocalyptic number.

295268064 is a gapful number since it is divisible by the number (24) 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 295268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484549632).

295268064 is an abundant number, since it is smaller than the sum of its proper divisors (673831200).

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

295268064 is a wasteful number, since it uses less digits than its factorization.

295268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 295268064 is about 17183.3659100887. The cubic root of 295268064 is about 665.8945986561.

The spelling of 295268064 in words is "two hundred ninety-five million, two hundred sixty-eight thousand, sixty-four".