123504864 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 31408128.

The previous prime is 123504827. The next prime is 123504889. The reversal of 123504864 is 468405321.

It is a super-3 number, since 3×123504864³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216772 + ... + 217340.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^123504864 is an apocalyptic number.

123504864 is a gapful number since it is divisible by the number (14) 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 123504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

123504864 is an abundant number, since it is smaller than the sum of its proper divisors (290178336).

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

123504864 is a wasteful number, since it uses less digits than its factorization.

123504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 123504864 is about 11113.2742249978. The cubic root of 123504864 is about 497.9984838908.

The spelling of 123504864 in words is "one hundred twenty-three million, five hundred four thousand, eight hundred sixty-four".