1176080 has 40 divisors (see below), whose sum is σ = 2790744. Its totient is φ = 460800.

The previous prime is 1176061. The next prime is 1176083. The reversal of 1176080 is 806711.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 1149184 = 164^2 + 1072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1176083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4760 + ... + 5000.

2^1176080 is an apocalyptic number.

1176080 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 1176080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395372).

1176080 is an abundant number, since it is smaller than the sum of its proper divisors (1614664).

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

1176080 is a wasteful number, since it uses less digits than its factorization.

1176080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1176080 is about 1084.4722218665. The cubic root of 1176080 is about 105.5550351877. Note that the first 3 decimals are identical.

The spelling of 1176080 in words is "one million, one hundred seventy-six thousand, eighty".