1216360640 has 224 divisors, whose sum is σ = 3328708608. Its totient is φ = 419328000.

The previous prime is 1216360637. The next prime is 1216360667. The reversal of 1216360640 is 460636121.

It is a happy number.

1216360640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7747442 + ... + 7747598.

Almost surely, 2^1216360640 is an apocalyptic number.

1216360640 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 1216360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664354304).

1216360640 is an abundant number, since it is smaller than the sum of its proper divisors (2112347968).

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

1216360640 is a wasteful number, since it uses less digits than its factorization.

1216360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1216360640 is about 34876.3621956190. The cubic root of 1216360640 is about 1067.4661679592.

Adding to 1216360640 its reverse (460636121), we get a palindrome (1676996761).

The spelling of 1216360640 in words is "one billion, two hundred sixteen million, three hundred sixty thousand, six hundred forty".