623904 has 48 divisors (see below), whose sum is σ = 1679328. Its totient is φ = 202752.

The previous prime is 623893. The next prime is 623923. The reversal of 623904 is 409326.

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 nialpdrome in base 16.

It is an unprimeable number.

623904 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 7 ways as a sum of consecutive naturals, for example, 6384 + ... + 6480.

It is an arithmetic number, because the mean of its divisors is an integer number (34986).

2⁶²³⁹⁰⁴ 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 623904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839664).

623904 is an abundant number, since it is smaller than the sum of its proper divisors (1055424).

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

623904 is a wasteful number, since it uses less digits than its factorization.

623904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 623904 is about 789.8759396260. The cubic root of 623904 is about 85.4487911952.

The spelling of 623904 in words is "six hundred twenty-three thousand, nine hundred four".