955008 has 48 divisors (see below), whose sum is σ = 2751450. Its totient is φ = 317952.

The previous prime is 954991. The next prime is 955037. The reversal of 955008 is 800559.

It can be written as a sum of positive squares in only one way, i.e., 788544 + 166464 = 888^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 738 + ... + 1566.

2⁹⁵⁵⁰⁰⁸ 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 955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375725).

955008 is an abundant number, since it is smaller than the sum of its proper divisors (1796442).

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

955008 is a wasteful number, since it uses less digits than its factorization.

955008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 955008 is about 977.2451074321. The cubic root of 955008 is about 98.4771950263.

Subtracting from 955008 its reverse (800559), we obtain a square (154449 = 393²).

The spelling of 955008 in words is "nine hundred fifty-five thousand, eight".