298993968 has 120 divisors (see below), whose sum is σ = 1029913248. Its totient is φ = 78852096.

The previous prime is 298993967. The next prime is 298993969. The reversal of 298993968 is 869399892.

It is an interprime number because it is at equal distance from previous prime (298993967) and next prime (298993969).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (298993967) 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 23 ways as a sum of consecutive naturals, for example, 1696 + ... + 24512.

Almost surely, 2^298993968 is an apocalyptic number.

298993968 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 298993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514956624).

298993968 is an abundant number, since it is smaller than the sum of its proper divisors (730919280).

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

298993968 is a wasteful number, since it uses less digits than its factorization.

298993968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22851 (or 22842 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 298993968 is about 17291.4420451274. The cubic root of 298993968 is about 668.6838109820.

The spelling of 298993968 in words is "two hundred ninety-eight million, nine hundred ninety-three thousand, nine hundred sixty-eight".