230090760 has 128 divisors (see below), whose sum is σ = 807408000. Its totient is φ = 58123008.

The previous prime is 230090743. The next prime is 230090771. The reversal of 230090760 is 67090032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14914 + ... + 26126.

It is an arithmetic number, because the mean of its divisors is an integer number (6307875).

Almost surely, 2^230090760 is an apocalyptic number.

230090760 is a gapful number since it is divisible by the number (20) 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 230090760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403704000).

230090760 is an abundant number, since it is smaller than the sum of its proper divisors (577317240).

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

230090760 is a wasteful number, since it uses less digits than its factorization.

230090760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 230090760 is about 15168.7428615558. The cubic root of 230090760 is about 612.7731481961.

The spelling of 230090760 in words is "two hundred thirty million, ninety thousand, seven hundred sixty".