1161142080 has 224 divisors, whose sum is σ = 4248668160. Its totient is φ = 263178240.

The previous prime is 1161142067. The next prime is 1161142091. The reversal of 1161142080 is 802411611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1161142080.

It is a congruent number.

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, 879661 + ... + 880979.

Almost surely, 2^1161142080 is an apocalyptic number.

1161142080 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 1161142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124334080).

1161142080 is an abundant number, since it is smaller than the sum of its proper divisors (3087526080).

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

1161142080 is a wasteful number, since it uses less digits than its factorization.

1161142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1161142080 is about 34075.5349187654. The cubic root of 1161142080 is about 1051.0622899931.

Adding to 1161142080 its reverse (802411611), we get a palindrome (1963553691).

The spelling of 1161142080 in words is "one billion, one hundred sixty-one million, one hundred forty-two thousand, eighty".