6381600 has 72 divisors (see below), whose sum is σ = 20779920. Its totient is φ = 1701120.

The previous prime is 6381589. The next prime is 6381607. The reversal of 6381600 is 61836.

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

It is not an unprimeable number, because it can be changed into a prime (6381607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (288610).

Almost surely, 2^6381600 is an apocalyptic number.

6381600 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 6381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389960).

6381600 is an abundant number, since it is smaller than the sum of its proper divisors (14398320).

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

6381600 is a wasteful number, since it uses less digits than its factorization.

6381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6381600 is about 2526.1828912412. The cubic root of 6381600 is about 185.4854549858.

The spelling of 6381600 in words is "six million, three hundred eighty-one thousand, six hundred".