6096960 has 168 divisors, whose sum is σ = 21991320. Its totient is φ = 1548288.

The previous prime is 6096949. The next prime is 6096991. The reversal of 6096960 is 696906.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 5308416 = 888^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83484 + ... + 83556.

Almost surely, 2^6096960 is an apocalyptic number.

6096960 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 6096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995660).

6096960 is an abundant number, since it is smaller than the sum of its proper divisors (15894360).

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

6096960 is a wasteful number, since it uses less digits than its factorization.

6096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 6096960 is about 2469.2023003391. The cubic root of 6096960 is about 182.6856558186.

It can be divided in two parts, 6096 and 960, that added together give a square (7056 = 84²).

The spelling of 6096960 in words is "six million, ninety-six thousand, nine hundred sixty".