1216748160 has 96 divisors (see below), whose sum is σ = 4201603380. Its totient is φ = 324464640.

The previous prime is 1216748153. The next prime is 1216748161. The reversal of 1216748160 is 618476121.

It is a happy number.

1216748160 is a `hidden beast` number, since 12 + 167 + 481 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1124126784 + 92621376 = 33528^2 + 9624^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1216748161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99861 + ... + 111380.

Almost surely, 2^1216748160 is an apocalyptic number.

1216748160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216748160 is an abundant number, since it is smaller than the sum of its proper divisors (2984855220).

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

1216748160 is a wasteful number, since it uses less digits than its factorization.

1216748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211266 (or 211251 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1216748160 is about 34881.9173784928. The cubic root of 1216748160 is about 1067.5795171732.

The spelling of 1216748160 in words is "one billion, two hundred sixteen million, seven hundred forty-eight thousand, one hundred sixty".