123943824 has 80 divisors (see below), whose sum is σ = 359054400. Its totient is φ = 40932864.

The previous prime is 123943819. The next prime is 123943847. The reversal of 123943824 is 428349321.

It is a super-3 number, since 3×123943824³ (a number of 25 digits) contains 333 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47547 + ... + 50085.

It is an arithmetic number, because the mean of its divisors is an integer number (4488180).

Almost surely, 2^123943824 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 123943824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179527200).

123943824 is an abundant number, since it is smaller than the sum of its proper divisors (235110576).

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

123943824 is a wasteful number, since it uses less digits than its factorization.

123943824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2657 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 123943824 is about 11133.0060630541. The cubic root of 123943824 is about 498.5877803600.

It can be divided in two parts, 12 and 3943824, that added together give a triangular number (3943836 = T₂₈₀₈).

The spelling of 123943824 in words is "one hundred twenty-three million, nine hundred forty-three thousand, eight hundred twenty-four".