1216760896 has 56 divisors (see below), whose sum is σ = 2624292440. Its totient is φ = 556388352.

The previous prime is 1216760851. The next prime is 1216760911. The reversal of 1216760896 is 6980676121.

It can be written as a sum of positive squares in 4 ways, for example, as 66194496 + 1150566400 = 8136^2 + 33920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83980 + ... + 97396.

It is an arithmetic number, because the mean of its divisors is an integer number (46862365).

Almost surely, 2^1216760896 is an apocalyptic number.

1216760896 is a gapful number since it is divisible by the number (16) 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 1216760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312146220).

1216760896 is an abundant number, since it is smaller than the sum of its proper divisors (1407531544).

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

1216760896 is a wasteful number, since it uses less digits than its factorization.

1216760896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13551 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 1216760896 is about 34882.0999367871. The cubic root of 1216760896 is about 1067.5832420320.

The spelling of 1216760896 in words is "one billion, two hundred sixteen million, seven hundred sixty thousand, eight hundred ninety-six".