295990968 has 192 divisors, whose sum is σ = 976752000. Its totient is φ = 73882368.

The previous prime is 295990951. The next prime is 295990969. The reversal of 295990968 is 869099592.

It is a super-2 number, since 2×295990968² = 175221306275154048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295990969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289963 + ... + 290981.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250).

Almost surely, 2^295990968 is an apocalyptic number.

295990968 is a gapful number since it is divisible by the number (28) 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 295990968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488376000).

295990968 is an abundant number, since it is smaller than the sum of its proper divisors (680761032).

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

295990968 is a wasteful number, since it uses less digits than its factorization.

295990968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The square root of 295990968 is about 17204.3880449146. The cubic root of 295990968 is about 666.4375917405.

The spelling of 295990968 in words is "two hundred ninety-five million, nine hundred ninety thousand, nine hundred sixty-eight".