123671688 has 96 divisors (see below), whose sum is σ = 363504960. Its totient is φ = 34957440.

The previous prime is 123671677. The next prime is 123671693. The reversal of 123671688 is 886176321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 120618 + ... + 121638.

It is an arithmetic number, because the mean of its divisors is an integer number (3786510).

Almost surely, 2^123671688 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 123671688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

123671688 is an abundant number, since it is smaller than the sum of its proper divisors (239833272).

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

123671688 is a wasteful number, since it uses less digits than its factorization.

123671688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1136 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 123671688 is about 11120.7773109617. Note that the first 3 decimals coincide. The cubic root of 123671688 is about 498.2226065652. Note that the first 3 decimals are identical.

The spelling of 123671688 in words is "one hundred twenty-three million, six hundred seventy-one thousand, six hundred eighty-eight".