123829686 has 48 divisors (see below), whose sum is σ = 278229120. Its totient is φ = 39761280.

The previous prime is 123829663. The next prime is 123829691. The reversal of 123829686 is 686928321.

It is a super-2 number, since 2×123829686² = 30667582269717192, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 174300 + ... + 175008.

It is an arithmetic number, because the mean of its divisors is an integer number (5796440).

Almost surely, 2^123829686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123829686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139114560).

123829686 is an abundant number, since it is smaller than the sum of its proper divisors (154399434).

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

123829686 is a wasteful number, since it uses less digits than its factorization.

123829686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1058 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 123829686 is about 11127.8787736028. The cubic root of 123829686 is about 498.4346860315.

The spelling of 123829686 in words is "one hundred twenty-three million, eight hundred twenty-nine thousand, six hundred eighty-six".