123671600 has 120 divisors (see below), whose sum is σ = 339040800. Its totient is φ = 42946560.

The previous prime is 123671599. The next prime is 123671623. The reversal of 123671600 is 6176321.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 123671600.

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, 87701 + ... + 89099.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2^123671600 is an apocalyptic number.

123671600 is a gapful number since it is divisible by the number (10) 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 123671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169520400).

123671600 is an abundant number, since it is smaller than the sum of its proper divisors (215369200).

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

123671600 is a wasteful number, since it uses less digits than its factorization.

123671600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 123671600 is about 11120.7733544030. The cubic root of 123671600 is about 498.2224883932. Note that the first 3 decimals are identical.

The spelling of 123671600 in words is "one hundred twenty-three million, six hundred seventy-one thousand, six hundred".