6135360 has 224 divisors, whose sum is σ = 24579072. Its totient is φ = 1259520.

The previous prime is 6135359. The next prime is 6135383. The reversal of 6135360 is 635316.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6135360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73879 + ... + 73961.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

Almost surely, 2^6135360 is an apocalyptic number.

6135360 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 6135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536).

6135360 is an abundant number, since it is smaller than the sum of its proper divisors (18443712).

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

6135360 is a wasteful number, since it uses less digits than its factorization.

6135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 6135360 is about 2476.9658859177. The cubic root of 6135360 is about 183.0683849650.

The spelling of 6135360 in words is "six million, one hundred thirty-five thousand, three hundred sixty".