239648080 has 80 divisors (see below), whose sum is σ = 644958720. Its totient is φ = 81110016.

The previous prime is 239648069. The next prime is 239648081. The reversal of 239648080 is 80846932.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239648081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41532 + ... + 46948.

It is an arithmetic number, because the mean of its divisors is an integer number (8061984).

Almost surely, 2^239648080 is an apocalyptic number.

239648080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

239648080 is the 12640-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239648080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322479360).

239648080 is an abundant number, since it is smaller than the sum of its proper divisors (405310640).

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

239648080 is a wasteful number, since it uses less digits than its factorization.

239648080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 239648080 is about 15480.5710488987. The cubic root of 239648080 is about 621.1426033640.

The spelling of 239648080 in words is "two hundred thirty-nine million, six hundred forty-eight thousand, eighty".