6123400 has 48 divisors (see below), whose sum is σ = 15082740. Its totient is φ = 2304000.

The previous prime is 6123361. The next prime is 6123401. The reversal of 6123400 is 43216.

It can be written as a sum of positive squares in 6 ways, for example, as 1855044 + 4268356 = 1362^2 + 2066^2 .

It is not an unprimeable number, because it can be changed into a prime (6123401) 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 11 ways as a sum of consecutive naturals, for example, 2500 + ... + 4300.

Almost surely, 2^6123400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541370).

6123400 is an abundant number, since it is smaller than the sum of its proper divisors (8959340).

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

6123400 is a wasteful number, since it uses less digits than its factorization.

6123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 6123400 is about 2474.5504642258. The cubic root of 6123400 is about 182.9493524426.

Adding to 6123400 its reverse (43216), we get a palindrome (6166616).

The spelling of 6123400 in words is "six million, one hundred twenty-three thousand, four hundred".