1161957384 has 288 divisors, whose sum is σ = 3893362200. Its totient is φ = 311592960.

The previous prime is 1161957383. The next prime is 1161957397. The reversal of 1161957384 is 4837591611.

1161957384 is a `hidden beast` number, since 11 + 61 + 9 + 573 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 516289284 + 645668100 = 22722^2 + 25410^2 .

It is not an unprimeable number, because it can be changed into a prime (1161957383) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4194654 + ... + 4194930.

Almost surely, 2^1161957384 is an apocalyptic number.

1161957384 is a gapful number since it is divisible by the number (14) 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 1161957384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946681100).

1161957384 is an abundant number, since it is smaller than the sum of its proper divisors (2731404816).

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

1161957384 is a wasteful number, since it uses less digits than its factorization.

1161957384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1161957384 is about 34087.4960066004. The cubic root of 1161957384 is about 1051.3082360074.

The spelling of 1161957384 in words is "one billion, one hundred sixty-one million, nine hundred fifty-seven thousand, three hundred eighty-four".