230756064 has 384 divisors, whose sum is σ = 836075520. Its totient is φ = 53913600.

The previous prime is 230756051. The next prime is 230756101. The reversal of 230756064 is 460657032.

It is a super-2 number, since 2×230756064² = 106496722145544192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353862 + ... + 4353914.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^230756064 is an apocalyptic number.

230756064 is a gapful number since it is divisible by the number (24) 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 230756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

230756064 is an abundant number, since it is smaller than the sum of its proper divisors (605319456).

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

230756064 is a wasteful number, since it uses less digits than its factorization.

230756064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 230756064 is about 15190.6571286433. The cubic root of 230756064 is about 613.3631880028.

The spelling of 230756064 in words is "two hundred thirty million, seven hundred fifty-six thousand, sixty-four".