662688 has 96 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 200448.

The previous prime is 662681. The next prime is 662689. The reversal of 662688 is 886266.

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 662688.

It is not an unprimeable number, because it can be changed into a prime (662681) by changing a digit.

662688 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 11203 + ... + 11261.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2⁶⁶²⁶⁸⁸ 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 662688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

662688 is an abundant number, since it is smaller than the sum of its proper divisors (1454112).

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

662688 is a wasteful number, since it uses less digits than its factorization.

662688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 662688 is about 814.0565090950. The cubic root of 662688 is about 87.1839153342.

The spelling of 662688 in words is "six hundred sixty-two thousand, six hundred eighty-eight".