6135900 has 72 divisors (see below), whose sum is σ = 18009264. Its totient is φ = 1612800.

The previous prime is 6135893. The next prime is 6135901. The reversal of 6135900 is 95316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6135901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33810 + ... + 33990.

Almost surely, 2^6135900 is an apocalyptic number.

6135900 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 6135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004632).

6135900 is an abundant number, since it is smaller than the sum of its proper divisors (11873364).

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

6135900 is a wasteful number, since it uses less digits than its factorization.

6135900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 6135900 is about 2477.0748878466. The cubic root of 6135900 is about 183.0737556918.

The spelling of 6135900 in words is "six million, one hundred thirty-five thousand, nine hundred".