1161088020 has 144 divisors (see below), whose sum is σ = 3742135488. Its totient is φ = 302019840.

The previous prime is 1161088007. The next prime is 1161088087. The reversal of 1161088020 is 208801611.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196347 + ... + 202173.

It is an arithmetic number, because the mean of its divisors is an integer number (25987052).

Almost surely, 2^1161088020 is an apocalyptic number.

1161088020 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 1161088020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871067744).

1161088020 is an abundant number, since it is smaller than the sum of its proper divisors (2581047468).

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

1161088020 is a wasteful number, since it uses less digits than its factorization.

1161088020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1161088020 is about 34074.7416718014. The cubic root of 1161088020 is about 1051.0459780906.

Adding to 1161088020 its reverse (208801611), we get a palindrome (1369889631).

The spelling of 1161088020 in words is "one billion, one hundred sixty-one million, eighty-eight thousand, twenty".