123427824 has 80 divisors (see below), whose sum is σ = 345311232. Its totient is φ = 37764864.

The previous prime is 123427751. The next prime is 123427847. The reversal of 123427824 is 428724321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138709 + ... + 139595.

Almost surely, 2^123427824 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 123427824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172655616).

123427824 is an abundant number, since it is smaller than the sum of its proper divisors (221883408).

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

123427824 is a wasteful number, since it uses less digits than its factorization.

123427824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 123427824 is about 11109.8075590894. The cubic root of 123427824 is about 497.8949150056.

It can be divided in two parts, 123427 and 824, that added together give a triangular number (124251 = T₄₉₈).

The spelling of 123427824 in words is "one hundred twenty-three million, four hundred twenty-seven thousand, eight hundred twenty-four".