623328 has 48 divisors (see below), whose sum is σ = 1685376. Its totient is φ = 201600.

The previous prime is 623327. The next prime is 623341. The reversal of 623328 is 823326.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 6 + 2¹⁴ + 3¹⁰ + 3¹² + 2¹⁴ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 623298 and 623307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623321) by changing a digit.

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, 4053 + ... + 4203.

It is an arithmetic number, because the mean of its divisors is an integer number (35112).

2⁶²³³²⁸ 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 623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842688).

623328 is an abundant number, since it is smaller than the sum of its proper divisors (1062048).

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

623328 is a wasteful number, since it uses less digits than its factorization.

623328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 623328 is about 789.5112412119. The cubic root of 623328 is about 85.4224871174.

The spelling of 623328 in words is "six hundred twenty-three thousand, three hundred twenty-eight".