1161736020 has 120 divisors (see below), whose sum is σ = 3682478184. Its totient is φ = 306561024.

The previous prime is 1161736013. The next prime is 1161736039. The reversal of 1161736020 is 206371611.

1161736020 is a `hidden beast` number, since 11 + 617 + 36 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14152644 + 1147583376 = 3762^2 + 33876^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153444 + ... + 160836.

Almost surely, 2^1161736020 is an apocalyptic number.

1161736020 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 1161736020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841239092).

1161736020 is an abundant number, since it is smaller than the sum of its proper divisors (2520742164).

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

1161736020 is a wasteful number, since it uses less digits than its factorization.

1161736020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1161736020 is about 34084.2488548596. The cubic root of 1161736020 is about 1051.2414703412.

The spelling of 1161736020 in words is "one billion, one hundred sixty-one million, seven hundred thirty-six thousand, twenty".