234864168 has 128 divisors (see below), whose sum is σ = 770688000. Its totient is φ = 57784320.

The previous prime is 234864143. The next prime is 234864229. The reversal of 234864168 is 861468432.

It is a super-2 number, since 2×234864168² = 110322354820664448, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31768 + ... + 38456.

It is an arithmetic number, because the mean of its divisors is an integer number (6021000).

Almost surely, 2^234864168 is an apocalyptic number.

234864168 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 234864168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385344000).

234864168 is an abundant number, since it is smaller than the sum of its proper divisors (535823832).

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

234864168 is a wasteful number, since it uses less digits than its factorization.

234864168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6731 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 234864168 is about 15325.2787250347. The cubic root of 234864168 is about 616.9816599003.

The spelling of 234864168 in words is "two hundred thirty-four million, eight hundred sixty-four thousand, one hundred sixty-eight".