6128720 has 80 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 2204160.

The previous prime is 6128693. The next prime is 6128723. The reversal of 6128720 is 278216.

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

It is a super-2 number, since 2×6128720² = 75122417676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 6128720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128723) 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, 73799 + ... + 73881.

Almost surely, 2^6128720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

6128720 is an abundant number, since it is smaller than the sum of its proper divisors (9620272).

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

6128720 is a wasteful number, since it uses less digits than its factorization.

6128720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 6128720 is about 2475.6251735673. The cubic root of 6128720 is about 183.0023191401.

The spelling of 6128720 in words is "six million, one hundred twenty-eight thousand, seven hundred twenty".