230821968 has 80 divisors (see below), whose sum is σ = 651861056. Its totient is φ = 69949440.

The previous prime is 230821967. The next prime is 230821993. The reversal of 230821968 is 869128032.

It is a happy number.

It is a super-2 number, since 2×230821968² = 106557561822786048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230821967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39048 + ... + 44568.

Almost surely, 2^230821968 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 230821968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325930528).

230821968 is an abundant number, since it is smaller than the sum of its proper divisors (421039088).

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

230821968 is a wasteful number, since it uses less digits than its factorization.

230821968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 230821968 is about 15192.8262018625. The cubic root of 230821968 is about 613.4215746806.

The spelling of 230821968 in words is "two hundred thirty million, eight hundred twenty-one thousand, nine hundred sixty-eight".