955980 has 72 divisors (see below), whose sum is σ = 2987712. Its totient is φ = 247296.

The previous prime is 955967. The next prime is 955987. The reversal of 955980 is 89559.

955980 = 30² + 31² + ... + 142².

955980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (955987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8404 + ... + 8516.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁹⁵⁵⁹⁸⁰ is an apocalyptic number.

955980 is a gapful number since it is divisible by the number (90) 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 955980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856).

955980 is an abundant number, since it is smaller than the sum of its proper divisors (2031732).

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

955980 is a wasteful number, since it uses less digits than its factorization.

955980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 955980 is about 977.7422973361. The cubic root of 955980 is about 98.5105934822.

The spelling of 955980 in words is "nine hundred fifty-five thousand, nine hundred eighty".