234656000 has 72 divisors (see below), whose sum is σ = 584637144. Its totient is φ = 93849600.

The previous prime is 234655973. The next prime is 234656011. The reversal of 234656000 is 656432.

It can be written as a sum of positive squares in 4 ways, for example, as 67108864 + 167547136 = 8192^2 + 12944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28334 + ... + 35666.

Almost surely, 2^234656000 is an apocalyptic number.

234656000 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 234656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292318572).

234656000 is an abundant number, since it is smaller than the sum of its proper divisors (349981144).

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

234656000 is an frugal number, since it uses more digits than its factorization.

234656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 234656000 is about 15318.4855648331. The cubic root of 234656000 is about 616.7993221636.

The spelling of 234656000 in words is "two hundred thirty-four million, six hundred fifty-six thousand".