123829424 has 40 divisors (see below), whose sum is σ = 253004640. Its totient is φ = 58595328.

The previous prime is 123829423. The next prime is 123829427. The reversal of 123829424 is 424928321.

It is not an unprimeable number, because it can be changed into a prime (123829423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33962 + ... + 37430.

It is an arithmetic number, because the mean of its divisors is an integer number (6325116).

Almost surely, 2^123829424 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 123829424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126502320).

123829424 is an abundant number, since it is smaller than the sum of its proper divisors (129175216).

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

123829424 is a wasteful number, since it uses less digits than its factorization.

123829424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3591 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 123829424 is about 11127.8670013619. The cubic root of 123829424 is about 498.4343345003.

The spelling of 123829424 in words is "one hundred twenty-three million, eight hundred twenty-nine thousand, four hundred twenty-four".