962208 has 72 divisors (see below), whose sum is σ = 2958228. Its totient is φ = 294912.

The previous prime is 962197. The next prime is 962233. The reversal of 962208 is 802269.

962208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 17424 = 972^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 962208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3616 + ... + 3872.

2⁹⁶²²⁰⁸ 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 962208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479114).

962208 is an abundant number, since it is smaller than the sum of its proper divisors (1996020).

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

962208 is a wasteful number, since it uses less digits than its factorization.

962208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 962208 is about 980.9220152489. The cubic root of 962208 is about 98.7240555674.

It can be divided in two parts, 96 and 2208, that added together give a square (2304 = 48²).

The spelling of 962208 in words is "nine hundred sixty-two thousand, two hundred eight".