1152080 has 20 divisors (see below), whose sum is σ = 2678772. Its totient is φ = 460800.

The previous prime is 1152079. The next prime is 1152091. The reversal of 1152080 is 802511.

It can be written as a sum of positive squares in 2 ways, for example, as 913936 + 238144 = 956^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7121 + ... + 7280.

2^1152080 is an apocalyptic number.

1152080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152080 is an abundant number, since it is smaller than the sum of its proper divisors (1526692).

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

1152080 is a wasteful number, since it uses less digits than its factorization.

1152080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14414 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1152080 is about 1073.3498963525. The cubic root of 1152080 is about 104.8320823246.

Adding to 1152080 its reverse (802511), we get a palindrome (1954591).

It can be divided in two parts, 11520 and 80, that multiplied together give a square (921600 = 960²).

The spelling of 1152080 in words is "one million, one hundred fifty-two thousand, eighty".