123827940 has 192 divisors, whose sum is σ = 413280000. Its totient is φ = 31072896.

The previous prime is 123827933. The next prime is 123827947. The reversal of 123827940 is 49728321.

It is an interprime number because it is at equal distance from previous prime (123827933) and next prime (123827947).

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

It is a junction number, because it is equal to n+sod(n) for n = 123827895 and 123827904.

It is not an unprimeable number, because it can be changed into a prime (123827947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830986 + ... + 831134.

It is an arithmetic number, because the mean of its divisors is an integer number (2152500).

Almost surely, 2^123827940 is an apocalyptic number.

123827940 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 123827940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206640000).

123827940 is an abundant number, since it is smaller than the sum of its proper divisors (289452060).

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

123827940 is a wasteful number, since it uses less digits than its factorization.

123827940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 123827940 is about 11127.8003217168. The cubic root of 123827940 is about 498.4323433755.

The spelling of 123827940 in words is "one hundred twenty-three million, eight hundred twenty-seven thousand, nine hundred forty".