5955180 has 96 divisors (see below), whose sum is σ = 20805120. Its totient is φ = 1236480.

The previous prime is 5955149. The next prime is 5955181. The reversal of 5955180 is 815595.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5955181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3976 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (216720).

Almost surely, 2^5955180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5955180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402560).

5955180 is an abundant number, since it is smaller than the sum of its proper divisors (14849940).

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

5955180 is a wasteful number, since it uses less digits than its factorization.

5955180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 5955180 is about 2440.3237490136. The cubic root of 5955180 is about 181.2584649237.

It can be divided in two parts, 595 and 5180, that added together give a palindrome (5775).

The spelling of 5955180 in words is "five million, nine hundred fifty-five thousand, one hundred eighty".