1183120 has 40 divisors (see below), whose sum is σ = 2874816. Its totient is φ = 451968.

The previous prime is 1183103. The next prime is 1183121. The reversal of 1183120 is 213811.

1183120 = 60² + 61² + ... + 155².

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1183094 and 1183103.

It is not an unprimeable number, because it can be changed into a prime (1183121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1519 + ... + 2161.

2^1183120 is an apocalyptic number.

1183120 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 1183120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437408).

1183120 is an abundant number, since it is smaller than the sum of its proper divisors (1691696).

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

1183120 is a wasteful number, since it uses less digits than its factorization.

1183120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1183120 is about 1087.7131974928. The cubic root of 1183120 is about 105.7652333645.

Adding to 1183120 its reverse (213811), we get a palindrome (1396931).

The spelling of 1183120 in words is "one million, one hundred eighty-three thousand, one hundred twenty".