233839648 has 48 divisors (see below), whose sum is σ = 534026304. Its totient is φ = 98714880.

The previous prime is 233839583. The next prime is 233839679. The reversal of 233839648 is 846938332.

It is a junction number, because it is equal to n+sod(n) for n = 233839598 and 233839607.

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 7 ways as a sum of consecutive naturals, for example, 7218 + ... + 22798.

It is an arithmetic number, because the mean of its divisors is an integer number (11125548).

Almost surely, 2^233839648 is an apocalyptic number.

233839648 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 233839648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267013152).

233839648 is an abundant number, since it is smaller than the sum of its proper divisors (300186656).

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

233839648 is a wasteful number, since it uses less digits than its factorization.

233839648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15665 (or 15657 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The square root of 233839648 is about 15291.8163734724. The cubic root of 233839648 is about 616.0832237026.

The spelling of 233839648 in words is "two hundred thirty-three million, eight hundred thirty-nine thousand, six hundred forty-eight".