6180480 has 192 divisors, whose sum is σ = 22674600. Its totient is φ = 1548288.

The previous prime is 6180413. The next prime is 6180497. The reversal of 6180480 is 840816.

6180480 is a `hidden beast` number, since 6 + 180 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 304704 = 2424^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167022 + ... + 167058.

Almost surely, 2^6180480 is an apocalyptic number.

6180480 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 6180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337300).

6180480 is an abundant number, since it is smaller than the sum of its proper divisors (16494120).

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

6180480 is a wasteful number, since it uses less digits than its factorization.

6180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6180480 is about 2486.0571192151. The cubic root of 6180480 is about 183.5160565755.

The spelling of 6180480 in words is "six million, one hundred eighty thousand, four hundred eighty".