239731968 has 144 divisors (see below), whose sum is σ = 767889920. Its totient is φ = 64862208.

The previous prime is 239731957. The next prime is 239731981. The reversal of 239731968 is 869137932.

It is a super-3 number, since 3×239731968³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100971 + ... + 103317.

Almost surely, 2^239731968 is an apocalyptic number.

239731968 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 239731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383944960).

239731968 is an abundant number, since it is smaller than the sum of its proper divisors (528157952).

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

239731968 is a wasteful number, since it uses less digits than its factorization.

239731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2378 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 239731968 is about 15483.2802726037. The cubic root of 239731968 is about 621.2150711982.

The spelling of 239731968 in words is "two hundred thirty-nine million, seven hundred thirty-one thousand, nine hundred sixty-eight".