239680000 has 200 divisors, whose sum is σ = 690304032. Its totient is φ = 81408000.

The previous prime is 239679977. The next prime is 239680027. The reversal of 239680000 is 86932.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×239680000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2239947 + ... + 2240053.

Almost surely, 2^239680000 is an apocalyptic number.

239680000 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 239680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345152016).

239680000 is an abundant number, since it is smaller than the sum of its proper divisors (450624032).

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

239680000 is an frugal number, since it uses more digits than its factorization.

239680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 239680000 is about 15481.6019842909. The cubic root of 239680000 is about 621.1701798999.

The spelling of 239680000 in words is "two hundred thirty-nine million, six hundred eighty thousand".