1218460320 has 864 divisors, whose sum is σ = 5563119744. Its totient is φ = 246343680.

The previous prime is 1218460267. The next prime is 1218460333. The reversal of 1218460320 is 230648121.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 32931342 + ... + 32931378.

It is an arithmetic number, because the mean of its divisors is an integer number (6438796).

Almost surely, 2^1218460320 is an apocalyptic number.

1218460320 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 1218460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781559872).

1218460320 is an abundant number, since it is smaller than the sum of its proper divisors (4344659424).

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

1218460320 is a wasteful number, since it uses less digits than its factorization.

1218460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1218460320 is about 34906.4509797258. The cubic root of 1218460320 is about 1068.0800344011.

It can be divided in two parts, 121 and 8460320, that added together give a triangular number (8460441 = T₄₁₁₃).

The spelling of 1218460320 in words is "one billion, two hundred eighteen million, four hundred sixty thousand, three hundred twenty".