6109920 has 72 divisors (see below), whose sum is σ = 20855016. Its totient is φ = 1628928.

The previous prime is 6109907. The next prime is 6109937. The reversal of 6109920 is 299016.

It is a happy number.

6109920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6109920² = 74662244812800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682 + ... + 3561.

It is an arithmetic number, because the mean of its divisors is an integer number (289653).

Almost surely, 2^6109920 is an apocalyptic number.

6109920 is a gapful number since it is divisible by the number (60) 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 6109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10427508).

6109920 is an abundant number, since it is smaller than the sum of its proper divisors (14745096).

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

6109920 is a wasteful number, since it uses less digits than its factorization.

6109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 6109920 is about 2471.8252365408. The cubic root of 6109920 is about 182.8150061020.

The spelling of 6109920 in words is "six million, one hundred nine thousand, nine hundred twenty".