234823680 has 504 divisors, whose sum is σ = 1019743452. Its totient is φ = 49545216.

The previous prime is 234823663. The next prime is 234823723. The reversal of 234823680 is 86328432.

234823680 is a `hidden beast` number, since 2 + 348 + 236 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 16257024 = 14784^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18063354 + ... + 18063366.

Almost surely, 2^234823680 is an apocalyptic number.

234823680 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 234823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509871726).

234823680 is an abundant number, since it is smaller than the sum of its proper divisors (784919772).

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

234823680 is a wasteful number, since it uses less digits than its factorization.

234823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 234823680 is about 15323.9577133324. The cubic root of 234823680 is about 616.9462042449.

The spelling of 234823680 in words is "two hundred thirty-four million, eight hundred twenty-three thousand, six hundred eighty".