6113760 has 96 divisors (see below), whose sum is σ = 19740672. Its totient is φ = 1589760.

The previous prime is 6113753. The next prime is 6113803. The reversal of 6113760 is 673116.

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

It is a super-2 number, since 2×6113760² = 74756122675200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6113760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22425 + ... + 22695.

It is an arithmetic number, because the mean of its divisors is an integer number (205632).

Almost surely, 2^6113760 is an apocalyptic number.

6113760 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 6113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336).

6113760 is an abundant number, since it is smaller than the sum of its proper divisors (13626912).

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

6113760 is a wasteful number, since it uses less digits than its factorization.

6113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 6113760 is about 2472.6018684778. The cubic root of 6113760 is about 182.8532969801.

Adding to 6113760 its reverse (673116), we get a palindrome (6786876).

It can be divided in two parts, 611 and 3760, that added together give a triangular number (4371 = T₉₃).

The spelling of 6113760 in words is "six million, one hundred thirteen thousand, seven hundred sixty".