123829664 has 72 divisors (see below), whose sum is σ = 286015968. Its totient is φ = 52617600.

The previous prime is 123829663. The next prime is 123829691. The reversal of 123829664 is 466928321.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (123829663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236507 + ... + 237029.

It is an arithmetic number, because the mean of its divisors is an integer number (3972444).

Almost surely, 2^123829664 is an apocalyptic number.

123829664 is a gapful number since it is divisible by the number (14) 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 123829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143007984).

123829664 is an abundant number, since it is smaller than the sum of its proper divisors (162186304).

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

123829664 is a wasteful number, since it uses less digits than its factorization.

123829664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 123829664 is about 11127.8777850945. The cubic root of 123829664 is about 498.4346565136.

The spelling of 123829664 in words is "one hundred twenty-three million, eight hundred twenty-nine thousand, six hundred sixty-four".