1230658560 has 264 divisors, whose sum is σ = 4517909136. Its totient is φ = 308674560.

The previous prime is 1230658537. The next prime is 1230658567. The reversal of 1230658560 is 658560321.

1230658560 is a `hidden beast` number, since 1 + 2 + 30 + 65 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230658567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782575 + ... + 784145.

Almost surely, 2^1230658560 is an apocalyptic number.

1230658560 is a gapful number since it is divisible by the number (10) 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 1230658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258954568).

1230658560 is an abundant number, since it is smaller than the sum of its proper divisors (3287250576).

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

1230658560 is a wasteful number, since it uses less digits than its factorization.

1230658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1230658560 is about 35080.7434356799. The cubic root of 1230658560 is about 1071.6324573517.

The spelling of 1230658560 in words is "one billion, two hundred thirty million, six hundred fifty-eight thousand, five hundred sixty".