123870600 has 384 divisors, whose sum is σ = 508896000. Its totient is φ = 27095040.

The previous prime is 123870599. The next prime is 123870613. The reversal of 123870600 is 6078321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096144 + ... + 1096256.

It is an arithmetic number, because the mean of its divisors is an integer number (1325250).

Almost surely, 2^123870600 is an apocalyptic number.

123870600 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 123870600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448000).

123870600 is an abundant number, since it is smaller than the sum of its proper divisors (385025400).

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

123870600 is a wasteful number, since it uses less digits than its factorization.

123870600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 123870600 is about 11129.7169775336. The cubic root of 123870600 is about 498.4895751614.

The spelling of 123870600 in words is "one hundred twenty-three million, eight hundred seventy thousand, six hundred".