6375120 has 80 divisors (see below), whose sum is σ = 20034432. Its totient is φ = 1676800.

The previous prime is 6375107. The next prime is 6375133. The reversal of 6375120 is 215736.

It is an interprime number because it is at equal distance from previous prime (6375107) and next prime (6375133).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24109 + ... + 24371.

Almost surely, 2^6375120 is an apocalyptic number.

6375120 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 6375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017216).

6375120 is an abundant number, since it is smaller than the sum of its proper divisors (13659312).

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

6375120 is a wasteful number, since it uses less digits than its factorization.

6375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 6375120 is about 2524.8999980197. The cubic root of 6375120 is about 185.4226518850.

The spelling of 6375120 in words is "six million, three hundred seventy-five thousand, one hundred twenty".