123967000 has 64 divisors (see below), whose sum is σ = 295682400. Its totient is φ = 48630400.

The previous prime is 123966991. The next prime is 123967007. The reversal of 123967000 is 769321.

It is a self number, because there is not a number n which added to its sum of digits gives 123967000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123967007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51831 + ... + 54169.

Almost surely, 2^123967000 is an apocalyptic number.

123967000 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 123967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147841200).

123967000 is an abundant number, since it is smaller than the sum of its proper divisors (171715400).

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

123967000 is a wasteful number, since it uses less digits than its factorization.

123967000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 123967000 is about 11134.0468833214. The cubic root of 123967000 is about 498.6188550568.

The spelling of 123967000 in words is "one hundred twenty-three million, nine hundred sixty-seven thousand".