1161361824 has 96 divisors (see below), whose sum is σ = 3490978176. Its totient is φ = 331161600.

The previous prime is 1161361807. The next prime is 1161361829. The reversal of 1161361824 is 4281631611.

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

It is a super-2 number, since 2×1161361824² = 2697522572489213952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1161361829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413224 + ... + 416024.

It is an arithmetic number, because the mean of its divisors is an integer number (36364356).

Almost surely, 2^1161361824 is an apocalyptic number.

1161361824 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 1161361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745489088).

1161361824 is an abundant number, since it is smaller than the sum of its proper divisors (2329616352).

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

1161361824 is a wasteful number, since it uses less digits than its factorization.

1161361824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3430 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1161361824 is about 34078.7591323393. The cubic root of 1161361824 is about 1051.1285896784.

It can be divided in two parts, 11613 and 61824, that added together give a palindrome (73437).

The spelling of 1161361824 in words is "one billion, one hundred sixty-one million, three hundred sixty-one thousand, eight hundred twenty-four".