296340096 has 256 divisors, whose sum is σ = 925344000. Its totient is φ = 83263488.

The previous prime is 296340061. The next prime is 296340097. The reversal of 296340096 is 690043692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (296340097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3329620 + ... + 3329708.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^296340096 is an apocalyptic number.

296340096 is a gapful number since it is divisible by the number (26) 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 296340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

296340096 is an abundant number, since it is smaller than the sum of its proper divisors (629003904).

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

296340096 is a wasteful number, since it uses less digits than its factorization.

296340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 296340096 is about 17214.5315358856. The cubic root of 296340096 is about 666.6995148259.

The spelling of 296340096 in words is "two hundred ninety-six million, three hundred forty thousand, ninety-six".