6321120 has 96 divisors (see below), whose sum is σ = 21464352. Its totient is φ = 1554432.

The previous prime is 6321097. The next prime is 6321121. The reversal of 6321120 is 211236.

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 (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6321120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6321121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5734 + ... + 6746.

It is an arithmetic number, because the mean of its divisors is an integer number (223587).

Almost surely, 2^6321120 is an apocalyptic number.

6321120 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 6321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176).

6321120 is an abundant number, since it is smaller than the sum of its proper divisors (15143232).

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

6321120 is a wasteful number, since it uses less digits than its factorization.

6321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 6321120 is about 2514.1837641668. The cubic root of 6321120 is about 184.8976302402.

Adding to 6321120 its reverse (211236), we get a palindrome (6532356).

It can be divided in two parts, 6321 and 120, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 6321120 in words is "six million, three hundred twenty-one thousand, one hundred twenty".