230649120 has 360 divisors, whose sum is σ = 900947124. Its totient is φ = 55240704.

The previous prime is 230649079. The next prime is 230649131. The reversal of 230649120 is 21946032.

230649120 is a `hidden beast` number, since 2 + 3 + 0 + 649 + 12 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 157854096 + 72795024 = 12564^2 + 8532^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6233742 + ... + 6233778.

Almost surely, 2^230649120 is an apocalyptic number.

230649120 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 230649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450473562).

230649120 is an abundant number, since it is smaller than the sum of its proper divisors (670298004).

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

230649120 is a wasteful number, since it uses less digits than its factorization.

230649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230649120 is about 15187.1366623205. The cubic root of 230649120 is about 613.2684188807.

The spelling of 230649120 in words is "two hundred thirty million, six hundred forty-nine thousand, one hundred twenty".