1161617160 has 128 divisors (see below), whose sum is σ = 3839736960. Its totient is φ = 278784000.

The previous prime is 1161617159. The next prime is 1161617203. The reversal of 1161617160 is 617161611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128964 + ... + 137676.

It is an arithmetic number, because the mean of its divisors is an integer number (29997945).

Almost surely, 2^1161617160 is an apocalyptic number.

1161617160 is a gapful number since it is divisible by the number (10) 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 1161617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919868480).

1161617160 is an abundant number, since it is smaller than the sum of its proper divisors (2678119800).

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

1161617160 is a wasteful number, since it uses less digits than its factorization.

1161617160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8839 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 1161617160 is about 34082.5051896130. The cubic root of 1161617160 is about 1051.2056174393.

Adding to 1161617160 its reverse (617161611), we get a palindrome (1778778771).

It can be divided in two parts, 116161 and 7160, that added together give a palindrome (123321).

The spelling of 1161617160 in words is "one billion, one hundred sixty-one million, six hundred seventeen thousand, one hundred sixty".