6109824 has 64 divisors (see below), whose sum is σ = 18555840. Its totient is φ = 1744896.

The previous prime is 6109819. The next prime is 6109837. The reversal of 6109824 is 4289016.

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

It is a junction number, because it is equal to n+sod(n) for n = 6109791 and 6109800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1552 + ... + 3824.

It is an arithmetic number, because the mean of its divisors is an integer number (289935).

Almost surely, 2^6109824 is an apocalyptic number.

6109824 is a gapful number since it is divisible by the number (64) 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 6109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277920).

6109824 is an abundant number, since it is smaller than the sum of its proper divisors (12446016).

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

6109824 is a wasteful number, since it uses less digits than its factorization.

6109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6109824 is about 2471.8058176159. The cubic root of 6109824 is about 182.8140486245.

The spelling of 6109824 in words is "six million, one hundred nine thousand, eight hundred twenty-four".