1152080160 has 576 divisors, whose sum is σ = 4744946304. Its totient is φ = 232243200.

The previous prime is 1152080159. The next prime is 1152080173. The reversal of 1152080160 is 610802511.

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 1152080160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15781884 + ... + 15781956.

It is an arithmetic number, because the mean of its divisors is an integer number (8237754).

Almost surely, 2^1152080160 is an apocalyptic number.

1152080160 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 1152080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372473152).

1152080160 is an abundant number, since it is smaller than the sum of its proper divisors (3592866144).

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

1152080160 is a wasteful number, since it uses less digits than its factorization.

1152080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1152080160 is about 33942.3063447374. The cubic root of 1152080160 is about 1048.3208717759.

Adding to 1152080160 its reverse (610802511), we get a palindrome (1762882671).

The spelling of 1152080160 in words is "one billion, one hundred fifty-two million, eighty thousand, one hundred sixty".