234585840 has 80 divisors (see below), whose sum is σ = 729417600. Its totient is φ = 62366976.

The previous prime is 234585833. The next prime is 234585847. The reversal of 234585840 is 48585432.

It is an interprime number because it is at equal distance from previous prime (234585833) and next prime (234585847).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234585847) 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, 89671 + ... + 92249.

It is an arithmetic number, because the mean of its divisors is an integer number (9117720).

Almost surely, 2^234585840 is an apocalyptic number.

234585840 is a gapful number since it is divisible by the number (20) 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 234585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364708800).

234585840 is an abundant number, since it is smaller than the sum of its proper divisors (494831760).

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

234585840 is a wasteful number, since it uses less digits than its factorization.

234585840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 234585840 is about 15316.1953500208. The cubic root of 234585840 is about 616.7378435820.

The spelling of 234585840 in words is "two hundred thirty-four million, five hundred eighty-five thousand, eight hundred forty".