6213120 has 80 divisors (see below), whose sum is σ = 19887120. Its totient is φ = 1654784.

The previous prime is 6213107. The next prime is 6213121. The reversal of 6213120 is 213126.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6213121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7276 + ... + 8084.

It is an arithmetic number, because the mean of its divisors is an integer number (248589).

Almost surely, 2^6213120 is an apocalyptic number.

6213120 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 6213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9943560).

6213120 is an abundant number, since it is smaller than the sum of its proper divisors (13674000).

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

6213120 is an equidigital number, since it uses as much as digits as its factorization.

6213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 819 counting only the distinct ones).

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

The square root of 6213120 is about 2492.6130867024. The cubic root of 6213120 is about 183.8385477248.

Adding to 6213120 its reverse (213126), we get a palindrome (6426246).

It can be divided in two parts, 621 and 3120, that added together give a triangular number (3741 = T₈₆).

The spelling of 6213120 in words is "six million, two hundred thirteen thousand, one hundred twenty".