1181920896 has 384 divisors, whose sum is σ = 3950419200. Its totient is φ = 349360128.

The previous prime is 1181920877. The next prime is 1181920939. The reversal of 1181920896 is 6980291811.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 14960985 + ... + 14961063.

It is an arithmetic number, because the mean of its divisors is an integer number (10287550).

Almost surely, 2^1181920896 is an apocalyptic number.

1181920896 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 1181920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975209600).

1181920896 is an abundant number, since it is smaller than the sum of its proper divisors (2768498304).

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

1181920896 is an equidigital number, since it uses as much as digits as its factorization.

1181920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1181920896 is about 34379.0764273853. The cubic root of 1181920896 is about 1057.2948991099.

The spelling of 1181920896 in words is "one billion, one hundred eighty-one million, nine hundred twenty thousand, eight hundred ninety-six".