6129960 has 64 divisors (see below), whose sum is σ = 19198080. Its totient is φ = 1562880.

The previous prime is 6129953. The next prime is 6129961. The reversal of 6129960 is 699216.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6129961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650 + ... + 3870.

It is an arithmetic number, because the mean of its divisors is an integer number (299970).

Almost surely, 2^6129960 is an apocalyptic number.

6129960 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 6129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599040).

6129960 is an abundant number, since it is smaller than the sum of its proper divisors (13068120).

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

6129960 is a wasteful number, since it uses less digits than its factorization.

6129960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 6129960 is about 2475.8756026909. The cubic root of 6129960 is about 183.0146603562.

The spelling of 6129960 in words is "six million, one hundred twenty-nine thousand, nine hundred sixty".