123161688 has 128 divisors (see below), whose sum is σ = 384652800. Its totient is φ = 36229248.

The previous prime is 123161681. The next prime is 123161699. The reversal of 123161688 is 886161321.

123161688 is a `hidden beast` number, since 1 + 2 + 31 + 616 + 8 + 8 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123161681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63631 + ... + 65537.

It is an arithmetic number, because the mean of its divisors is an integer number (3005100).

Almost surely, 2^123161688 is an apocalyptic number.

123161688 is a gapful number since it is divisible by the number (18) 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 123161688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192326400).

123161688 is an abundant number, since it is smaller than the sum of its proper divisors (261491112).

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

123161688 is a wasteful number, since it uses less digits than its factorization.

123161688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1948 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 123161688 is about 11097.8235704124. The cubic root of 123161688 is about 497.5368025770.

The spelling of 123161688 in words is "one hundred twenty-three million, one hundred sixty-one thousand, six hundred eighty-eight".