123684864 has 96 divisors (see below), whose sum is σ = 338476320. Its totient is φ = 40140800.

The previous prime is 123684859. The next prime is 123684887. The reversal of 123684864 is 468486321.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251659 + ... + 252149.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 2^123684864 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 123684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169238160).

123684864 is an abundant number, since it is smaller than the sum of its proper divisors (214791456).

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

123684864 is an equidigital number, since it uses as much as digits as its factorization.

123684864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 537 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 123684864 is about 11121.3696998167. The cubic root of 123684864 is about 498.2402995070.

The spelling of 123684864 in words is "one hundred twenty-three million, six hundred eighty-four thousand, eight hundred sixty-four".