1216764360 has 192 divisors, whose sum is σ = 4547162880. Its totient is φ = 276410880.

The previous prime is 1216764347. The next prime is 1216764379. The reversal of 1216764360 is 634676121.

It is a happy number.

1216764360 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 7 + 643 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434565 + ... + 437355.

It is an arithmetic number, because the mean of its divisors is an integer number (23683140).

Almost surely, 2^1216764360 is an apocalyptic number.

1216764360 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 1216764360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273581440).

1216764360 is an abundant number, since it is smaller than the sum of its proper divisors (3330398520).

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

1216764360 is a wasteful number, since it uses less digits than its factorization.

1216764360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1216764360 is about 34882.1495897257. The cubic root of 1216764360 is about 1067.5842551330.

The spelling of 1216764360 in words is "one billion, two hundred sixteen million, seven hundred sixty-four thousand, three hundred sixty".