1218045920 has 576 divisors, whose sum is σ = 4126489920. Its totient is φ = 334430208.

The previous prime is 1218045919. The next prime is 1218045931. The reversal of 1218045920 is 295408121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32920142 + ... + 32920178.

It is an arithmetic number, because the mean of its divisors is an integer number (7164045).

Almost surely, 2^1218045920 is an apocalyptic number.

1218045920 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 1218045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063244960).

1218045920 is an abundant number, since it is smaller than the sum of its proper divisors (2908444000).

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

1218045920 is a wasteful number, since it uses less digits than its factorization.

1218045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1218045920 is about 34900.5146093865. The cubic root of 1218045920 is about 1067.9589355175.

The spelling of 1218045920 in words is "one billion, two hundred eighteen million, forty-five thousand, nine hundred twenty".