123829320 has 32 divisors (see below), whose sum is σ = 371488320. Its totient is φ = 33021120.

The previous prime is 123829319. The next prime is 123829337. The reversal of 123829320 is 23928321.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 515836 + ... + 516075.

It is an arithmetic number, because the mean of its divisors is an integer number (11609010).

Almost surely, 2^123829320 is an apocalyptic number.

123829320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123829320 is an abundant number, since it is smaller than the sum of its proper divisors (247659000).

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

123829320 is a wasteful number, since it uses less digits than its factorization.

123829320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031925 (or 1031921 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 123829320 is about 11127.8623284079. The cubic root of 123829320 is about 498.4341949611.

Subtracting from 123829320 its reverse (23928321), we obtain a palindrome (99900999).

The spelling of 123829320 in words is "one hundred twenty-three million, eight hundred twenty-nine thousand, three hundred twenty".