623968 has 48 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 276480.

The previous prime is 623963. The next prime is 623977. The reversal of 623968 is 869326.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 6 + 2¹⁹ + 9² + 3¹⁰ + 6⁵ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623963) by changing a digit.

623968 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, 16846 + ... + 16882.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁶²³⁹⁶⁸ is an apocalyptic number.

623968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 623968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

623968 is an abundant number, since it is smaller than the sum of its proper divisors (754976).

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

623968 is a wasteful number, since it uses less digits than its factorization.

623968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 623968 is about 789.9164512782. The cubic root of 623968 is about 85.4517128710.

It can be divided in two parts, 62 and 3968, that multiplied together give a square (246016 = 496²).

The spelling of 623968 in words is "six hundred twenty-three thousand, nine hundred sixty-eight".