234624768 has 144 divisors (see below), whose sum is σ = 751537920. Its totient is φ = 63479808.

The previous prime is 234624757. The next prime is 234624773. The reversal of 234624768 is 867426432.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 100996 + ... + 103292.

Almost surely, 2^234624768 is an apocalyptic number.

234624768 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 234624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375768960).

234624768 is an abundant number, since it is smaller than the sum of its proper divisors (516913152).

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

234624768 is a wasteful number, since it uses less digits than its factorization.

234624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2328 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 234624768 is about 15317.4661089881. The cubic root of 234624768 is about 616.7719562447.

The spelling of 234624768 in words is "two hundred thirty-four million, six hundred twenty-four thousand, seven hundred sixty-eight".