230162688 has 288 divisors, whose sum is σ = 800593920. Its totient is φ = 63866880.

The previous prime is 230162663. The next prime is 230162689. The reversal of 230162688 is 886261032.

230162688 is a `hidden beast` number, since 23 + 0 + 1 + 626 + 8 + 8 = 666.

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 not an unprimeable number, because it can be changed into a prime (230162689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3241693 + ... + 3241763.

It is an arithmetic number, because the mean of its divisors is an integer number (2779840).

Almost surely, 2^230162688 is an apocalyptic number.

230162688 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 230162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400296960).

230162688 is an abundant number, since it is smaller than the sum of its proper divisors (570431232).

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

230162688 is an equidigital number, since it uses as much as digits as its factorization.

230162688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 230162688 is about 15171.1136044787. The cubic root of 230162688 is about 612.8369939513.

The spelling of 230162688 in words is "two hundred thirty million, one hundred sixty-two thousand, six hundred eighty-eight".