1218058560 has 140 divisors (see below), whose sum is σ = 4332940788. Its totient is φ = 324808704.

The previous prime is 1218058547. The next prime is 1218058591. The reversal of 1218058560 is 658508121.

1218058560 is a `hidden beast` number, since 1 + 2 + 18 + 0 + 585 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 205291584 + 1012766976 = 14328^2 + 31824^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2424 + ... + 49416.

Almost surely, 2^1218058560 is an apocalyptic number.

1218058560 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 1218058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166470394).

1218058560 is an abundant number, since it is smaller than the sum of its proper divisors (3114882228).

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

1218058560 is an equidigital number, since it uses as much as digits as its factorization.

1218058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47022 (or 47003 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1218058560 is about 34900.6956950718. The cubic root of 1218058560 is about 1067.9626296733.

The spelling of 1218058560 in words is "one billion, two hundred eighteen million, fifty-eight thousand, five hundred sixty".