234540864 has 168 divisors, whose sum is σ = 733044000. Its totient is φ = 71414784.

The previous prime is 234540841. The next prime is 234540881. The reversal of 234540864 is 468045432.

234540864 is a `hidden beast` number, since 2 + 34 + 540 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317007 + ... + 317745.

Almost surely, 2^234540864 is an apocalyptic number.

234540864 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 234540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366522000).

234540864 is an abundant number, since it is smaller than the sum of its proper divisors (498503136).

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

234540864 is a wasteful number, since it uses less digits than its factorization.

234540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 234540864 is about 15314.7270298886. The cubic root of 234540864 is about 616.6984263490.

The spelling of 234540864 in words is "two hundred thirty-four million, five hundred forty thousand, eight hundred sixty-four".