234613680 has 160 divisors (see below), whose sum is σ = 835660800. Its totient is φ = 53339136.

The previous prime is 234613663. The next prime is 234613681. The reversal of 234613680 is 86316432.

It is not an unprimeable number, because it can be changed into a prime (234613681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602926 + ... + 603314.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^234613680 is an apocalyptic number.

234613680 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 234613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

234613680 is an abundant number, since it is smaller than the sum of its proper divisors (601047120).

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

234613680 is a wasteful number, since it uses less digits than its factorization.

234613680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 234613680 is about 15317.1041649523. The cubic root of 234613680 is about 616.7622401986.

The spelling of 234613680 in words is "two hundred thirty-four million, six hundred thirteen thousand, six hundred eighty".