955680 has 96 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 230400.

The previous prime is 955657. The next prime is 955693. The reversal of 955680 is 86559.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 16.

It is a congruent number.

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, 5190 + ... + 5370.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁹⁵⁵⁶⁸⁰ 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 955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

955680 is an abundant number, since it is smaller than the sum of its proper divisors (2346528).

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

955680 is a wasteful number, since it uses less digits than its factorization.

955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 955680 is about 977.5888706404. The cubic root of 955680 is about 98.5002877331.

It can be divided in two parts, 95 and 5680, that added together give a palindrome (5775).

The spelling of 955680 in words is "nine hundred fifty-five thousand, six hundred eighty".