230065920 has 360 divisors, whose sum is σ = 943788384. Its totient is φ = 52420608.

The previous prime is 230065909. The next prime is 230065931. The reversal of 230065920 is 29560032.

230065920 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 659 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230065909) and next prime (230065931).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725602 + ... + 725918.

Almost surely, 2^230065920 is an apocalyptic number.

230065920 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 230065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471894192).

230065920 is an abundant number, since it is smaller than the sum of its proper divisors (713722464).

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

230065920 is an equidigital number, since it uses as much as digits as its factorization.

230065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 230065920 is about 15167.9240504428. The cubic root of 230065920 is about 612.7510962708.

The spelling of 230065920 in words is "two hundred thirty million, sixty-five thousand, nine hundred twenty".