6385500 has 192 divisors, whose sum is σ = 23063040. Its totient is φ = 1512000.

The previous prime is 6385487. The next prime is 6385537. The reversal of 6385500 is 55836.

It is a super-2 number, since 2×6385500² = 81549220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148479 + ... + 148521.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

Almost surely, 2^6385500 is an apocalyptic number.

6385500 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 6385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

6385500 is an abundant number, since it is smaller than the sum of its proper divisors (16677540).

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

6385500 is a wasteful number, since it uses less digits than its factorization.

6385500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6385500 is about 2526.9546889487. The cubic root of 6385500 is about 185.5232326571.

The spelling of 6385500 in words is "six million, three hundred eighty-five thousand, five hundred".