955920 has 80 divisors (see below), whose sum is σ = 3392640. Its totient is φ = 218112.

The previous prime is 955919. The next prime is 955937. The reversal of 955920 is 29559.

955920 = T₂₁₆ + T₂₁₇ + ... + T₂₅₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 955920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396 + ... + 1964.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2⁹⁵⁵⁹²⁰ 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 955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696320).

955920 is an abundant number, since it is smaller than the sum of its proper divisors (2436720).

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

955920 is a wasteful number, since it uses less digits than its factorization.

955920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 955920 is about 977.7116139230. The cubic root of 955920 is about 98.5085325049.

The spelling of 955920 in words is "nine hundred fifty-five thousand, nine hundred twenty".