123829056 has 168 divisors, whose sum is σ = 399409920. Its totient is φ = 36393984.

The previous prime is 123829049. The next prime is 123829063. The reversal of 123829056 is 650928321.

It is an interprime number because it is at equal distance from previous prime (123829049) and next prime (123829063).

It is a super-2 number, since 2×123829056² = 30667270219702272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123829056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171865 + ... + 172583.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^123829056 is an apocalyptic number.

123829056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

123829056 is an abundant number, since it is smaller than the sum of its proper divisors (275580864).

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

123829056 is a wasteful number, since it uses less digits than its factorization.

123829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 123829056 is about 11127.8504662850. The cubic root of 123829056 is about 498.4338407458.

The spelling of 123829056 in words is "one hundred twenty-three million, eight hundred twenty-nine thousand, fifty-six".