234193680 has 240 divisors, whose sum is σ = 932690304. Its totient is φ = 53498880.

The previous prime is 234193669. The next prime is 234193699. The reversal of 234193680 is 86391432.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135220 + ... + 136940.

Almost surely, 2^234193680 is an apocalyptic number.

234193680 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 234193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466345152).

234193680 is an abundant number, since it is smaller than the sum of its proper divisors (698496624).

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

234193680 is a wasteful number, since it uses less digits than its factorization.

234193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 234193680 is about 15303.3878602093. The cubic root of 234193680 is about 616.3939825155.

The spelling of 234193680 in words is "two hundred thirty-four million, one hundred ninety-three thousand, six hundred eighty".