239876640 has 240 divisors, whose sum is σ = 860606208. Its totient is φ = 62913024.

The previous prime is 239876639. The next prime is 239876669. The reversal of 239876640 is 46678932.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 1075569 + ... + 1075791.

Almost surely, 2^239876640 is an apocalyptic number.

239876640 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 239876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430303104).

239876640 is an abundant number, since it is smaller than the sum of its proper divisors (620729568).

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

239876640 is a wasteful number, since it uses less digits than its factorization.

239876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 239876640 is about 15487.9514462049. The cubic root of 239876640 is about 621.3400084424.

The spelling of 239876640 in words is "two hundred thirty-nine million, eight hundred seventy-six thousand, six hundred forty".