230067936 has 288 divisors, whose sum is σ = 813758400. Its totient is φ = 61415424.

The previous prime is 230067911. The next prime is 230067973. The reversal of 230067936 is 639760032.

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

It is a super-3 number, since 3×230067936³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230067936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679260 + ... + 1679396.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2^230067936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230067936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406879200).

230067936 is an abundant number, since it is smaller than the sum of its proper divisors (583690464).

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

230067936 is a wasteful number, since it uses less digits than its factorization.

230067936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 230067936 is about 15167.9905063261. The cubic root of 230067936 is about 612.7528860514.

The spelling of 230067936 in words is "two hundred thirty million, sixty-seven thousand, nine hundred thirty-six".