1218680320 has 160 divisors (see below), whose sum is σ = 3433842720. Its totient is φ = 408944640.

The previous prime is 1218680317. The next prime is 1218680327. The reversal of 1218680320 is 230868121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×1218680320³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218680327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364416 + ... + 367744.

It is an arithmetic number, because the mean of its divisors is an integer number (21461517).

Almost surely, 2^1218680320 is an apocalyptic number.

1218680320 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 1218680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716921360).

1218680320 is an abundant number, since it is smaller than the sum of its proper divisors (2215162400).

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

1218680320 is a wasteful number, since it uses less digits than its factorization.

1218680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1218680320 is about 34909.6021174691. The cubic root of 1218680320 is about 1068.1443131916.

The spelling of 1218680320 in words is "one billion, two hundred eighteen million, six hundred eighty thousand, three hundred twenty".