623808 has 84 divisors (see below), whose sum is σ = 1935480. Its totient is φ = 196992.

The previous prime is 623803. The next prime is 623839. The reversal of 623808 is 808326.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (623803) by changing a digit.

623808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32823 + ... + 32841.

2⁶²³⁸⁰⁸ 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 623808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967740).

623808 is an abundant number, since it is smaller than the sum of its proper divisors (1311672).

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

623808 is a wasteful number, since it uses less digits than its factorization.

623808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 623808 is about 789.8151682514. The cubic root of 623808 is about 85.4444083068. Note that the first 4 decimals are identical.

Multiplying 623808 by its sum of digits (27), we get a square (16842816 = 4104²).

623808 divided by its sum of digits (27) gives a square (23104 = 152²).

It can be divided in two parts, 623 and 808, that added together give a triangular number (1431 = T₅₃).

The spelling of 623808 in words is "six hundred twenty-three thousand, eight hundred eight".