6123648 has 64 divisors (see below), whose sum is σ = 16744320. Its totient is φ = 1981440.

The previous prime is 6123641. The next prime is 6123653. The reversal of 6123648 is 8463216.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6123641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13993 + ... + 14423.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 2^6123648 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 6123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372160).

6123648 is an abundant number, since it is smaller than the sum of its proper divisors (10620672).

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

6123648 is a wasteful number, since it uses less digits than its factorization.

6123648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 6123648 is about 2474.6005738300. The cubic root of 6123648 is about 182.9518222484.

The spelling of 6123648 in words is "six million, one hundred twenty-three thousand, six hundred forty-eight".