234765648 has 160 divisors (see below), whose sum is σ = 768700800. Its totient is φ = 67958784.

The previous prime is 234765613. The next prime is 234765649. The reversal of 234765648 is 846567432.

It is a super-3 number, since 3×234765648³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234765649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94243 + ... + 96701.

It is an arithmetic number, because the mean of its divisors is an integer number (4804380).

Almost surely, 2^234765648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234765648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384350400).

234765648 is an abundant number, since it is smaller than the sum of its proper divisors (533935152).

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

234765648 is a wasteful number, since it uses less digits than its factorization.

234765648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2494 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 234765648 is about 15322.0640907157. The cubic root of 234765648 is about 616.8953780650.

The spelling of 234765648 in words is "two hundred thirty-four million, seven hundred sixty-five thousand, six hundred forty-eight".