1233180 has 144 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 276480.

The previous prime is 1233179. The next prime is 1233181. The reversal of 1233180 is 813321.

1233180 = T₂₅ + T₂₆ + ... + T₁₉₄.

It is an interprime number because it is at equal distance from previous prime (1233179) and next prime (1233181).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39765 + ... + 39795.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2^1233180 is an apocalyptic number.

1233180 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 1233180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

1233180 is an abundant number, since it is smaller than the sum of its proper divisors (3169764).

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

1233180 is a wasteful number, since it uses less digits than its factorization.

1233180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1233180 is about 1110.4863799255. The cubic root of 1233180 is about 107.2363830985.

The spelling of 1233180 in words is "one million, two hundred thirty-three thousand, one hundred eighty".