239682240 has 280 divisors, whose sum is σ = 975128352. Its totient is φ = 54743040.

The previous prime is 239682239. The next prime is 239682257. The reversal of 239682240 is 42286932.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 239682195 and 239682204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180780 + ... + 182100.

Almost surely, 2^239682240 is an apocalyptic number.

239682240 is a gapful number since it is divisible by the number (20) 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 239682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487564176).

239682240 is an abundant number, since it is smaller than the sum of its proper divisors (735446112).

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

239682240 is a wasteful number, since it uses less digits than its factorization.

239682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 239682240 is about 15481.6743280564. The cubic root of 239682240 is about 621.1721150035.

The spelling of 239682240 in words is "two hundred thirty-nine million, six hundred eighty-two thousand, two hundred forty".