239899968 has 280 divisors, whose sum is σ = 888089664. Its totient is φ = 62208000.

The previous prime is 239899951. The next prime is 239899969. The reversal of 239899968 is 869998932.

It is a super-3 number, since 3×239899968³ (a number of 26 digits) contains 333 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239899969) 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 39 ways as a sum of consecutive naturals, for example, 398868 + ... + 399468.

Almost surely, 2^239899968 is an apocalyptic number.

239899968 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 239899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444044832).

239899968 is an abundant number, since it is smaller than the sum of its proper divisors (648189696).

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

239899968 is a wasteful number, since it uses less digits than its factorization.

239899968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

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

The square root of 239899968 is about 15488.7045294305. The cubic root of 239899968 is about 621.3601495586.

It can be divided in two parts, 239899 and 968, that multiplied together give a palindrome (232222232).

The spelling of 239899968 in words is "two hundred thirty-nine million, eight hundred ninety-nine thousand, nine hundred sixty-eight".