234864 has 60 divisors (see below), whose sum is σ = 754416. Its totient is φ = 66816.

The previous prime is 234863. The next prime is 234869. The reversal of 234864 is 468432.

234864 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234864² = 110322196992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892 + ... + 1124.

2²³⁴⁸⁶⁴ is an apocalyptic number.

234864 is a gapful number since it is divisible by the number (24) 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 234864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377208).

234864 is an abundant number, since it is smaller than the sum of its proper divisors (519552).

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

234864 is a wasteful number, since it uses less digits than its factorization.

234864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 234864 is about 484.6276921514. The cubic root of 234864 is about 61.6981512790.

The spelling of 234864 in words is "two hundred thirty-four thousand, eight hundred sixty-four".