962688 has 64 divisors (see below), whose sum is σ = 2692800. Its totient is φ = 304128.

The previous prime is 962683. The next prime is 962737. The reversal of 962688 is 886269.

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 962688.

It is not an unprimeable number, because it can be changed into a prime (962681) by changing a digit.

962688 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 7 ways as a sum of consecutive naturals, for example, 8778 + ... + 8886.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

2⁹⁶²⁶⁸⁸ 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 962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346400).

962688 is an abundant number, since it is smaller than the sum of its proper divisors (1730112).

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

962688 is a wasteful number, since it uses less digits than its factorization.

962688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 962688 is about 981.1666525112. The cubic root of 962688 is about 98.7404690903.

The spelling of 962688 in words is "nine hundred sixty-two thousand, six hundred eighty-eight".