123863904 has 144 divisors (see below), whose sum is σ = 387183888. Its totient is φ = 38817792.

The previous prime is 123863899. The next prime is 123863917. The reversal of 123863904 is 409368321.

123863904 is a `hidden beast` number, since 12 + 3 + 8 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131724 + ... + 132660.

It is an arithmetic number, because the mean of its divisors is an integer number (2688777).

Almost surely, 2^123863904 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 123863904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193591944).

123863904 is an abundant number, since it is smaller than the sum of its proper divisors (263319984).

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

123863904 is an equidigital number, since it uses as much as digits as its factorization.

123863904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 123863904 is about 11129.4161571935. The cubic root of 123863904 is about 498.4805928139.

It can be divided in two parts, 12386 and 3904, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 123863904 in words is "one hundred twenty-three million, eight hundred sixty-three thousand, nine hundred four".