1218006920 has 64 divisors (see below), whose sum is σ = 2967859440. Its totient is φ = 447206400.

The previous prime is 1218006899. The next prime is 1218006941. The reversal of 1218006920 is 296008121.

It is an interprime number because it is at equal distance from previous prime (1218006899) and next prime (1218006941).

It can be written as a sum of positive squares in 8 ways, for example, as 116165284 + 1101841636 = 10778^2 + 33194^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87650 + ... + 100590.

Almost surely, 2^1218006920 is an apocalyptic number.

1218006920 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 1218006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483929720).

1218006920 is an abundant number, since it is smaller than the sum of its proper divisors (1749852520).

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

1218006920 is a wasteful number, since it uses less digits than its factorization.

1218006920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13146 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1218006920 is about 34899.9558738976. The cubic root of 1218006920 is about 1067.9475372491.

The spelling of 1218006920 in words is "one billion, two hundred eighteen million, six thousand, nine hundred twenty".