230172768 has 288 divisors, whose sum is σ = 805109760. Its totient is φ = 60963840.

The previous prime is 230172757. The next prime is 230172827. The reversal of 230172768 is 867271032.

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1812321 + ... + 1812447.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2^230172768 is an apocalyptic number.

230172768 is a gapful number since it is divisible by the number (28) 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 230172768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402554880).

230172768 is an abundant number, since it is smaller than the sum of its proper divisors (574936992).

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

230172768 is a wasteful number, since it uses less digits than its factorization.

230172768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 230172768 is about 15171.4458111282. The cubic root of 230172768 is about 612.8459402417.

The spelling of 230172768 in words is "two hundred thirty million, one hundred seventy-two thousand, seven hundred sixty-eight".