6393120 has 96 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 1612800.

The previous prime is 6393109. The next prime is 6393131. The reversal of 6393120 is 213936.

It is an interprime number because it is at equal distance from previous prime (6393109) and next prime (6393131).

It is a tau number, because it is divible by the number of its divisors (96).

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, 8770 + ... + 9470.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 2^6393120 is an apocalyptic number.

6393120 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 6393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

6393120 is an abundant number, since it is smaller than the sum of its proper divisors (14835360).

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

6393120 is a wasteful number, since it uses less digits than its factorization.

6393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 6393120 is about 2528.4619831036. The cubic root of 6393120 is about 185.5970000506.

The spelling of 6393120 in words is "six million, three hundred ninety-three thousand, one hundred twenty".