6135480 has 256 divisors, whose sum is σ = 24192000. Its totient is φ = 1368576.

The previous prime is 6135473. The next prime is 6135491. The reversal of 6135480 is 845316.

6135480 is a `hidden beast` number, since 613 + 5 + 48 + 0 = 666.

It is a super-2 number, since 2×6135480² = 75288229660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266749 + ... + 266771.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 2^6135480 is an apocalyptic number.

6135480 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 6135480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

6135480 is an abundant number, since it is smaller than the sum of its proper divisors (18056520).

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

6135480 is a wasteful number, since it uses less digits than its factorization.

6135480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6135480 is about 2476.9901089831. The cubic root of 6135480 is about 183.0695784871.

The spelling of 6135480 in words is "six million, one hundred thirty-five thousand, four hundred eighty".