233979648 has 144 divisors (see below), whose sum is σ = 722889216. Its totient is φ = 65802240.

The previous prime is 233979643. The next prime is 233979649. The reversal of 233979648 is 846979332.

233979648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233979648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233979643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381390 + ... + 382002.

It is an arithmetic number, because the mean of its divisors is an integer number (5020064).

Almost surely, 2^233979648 is an apocalyptic number.

233979648 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 233979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361444608).

233979648 is an abundant number, since it is smaller than the sum of its proper divisors (488909568).

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

233979648 is an equidigital number, since it uses as much as digits as its factorization.

233979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 696 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 233979648 is about 15296.3933003829. The cubic root of 233979648 is about 616.2061490274.

The spelling of 233979648 in words is "two hundred thirty-three million, nine hundred seventy-nine thousand, six hundred forty-eight".