1177120 has 48 divisors (see below), whose sum is σ = 3181248. Its totient is φ = 403200.

The previous prime is 1177103. The next prime is 1177129. The reversal of 1177120 is 217711.

1177120 = T₂₆₅ + T₂₆₆ + ... + T₂₉₄.

It is a super-2 number, since 2×1177120² = 2771222988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1177129) 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, 595 + ... + 1645.

It is an arithmetic number, because the mean of its divisors is an integer number (66276).

2^1177120 is an apocalyptic number.

1177120 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 1177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590624).

1177120 is an abundant number, since it is smaller than the sum of its proper divisors (2004128).

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

1177120 is a wasteful number, since it uses less digits than its factorization.

1177120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 1177120 is about 1084.9516118242. The cubic root of 1177120 is about 105.5861399012.

The spelling of 1177120 in words is "one million, one hundred seventy-seven thousand, one hundred twenty".