6142080 has 128 divisors (see below), whose sum is σ = 22423680. Its totient is φ = 1400832.

The previous prime is 6142079. The next prime is 6142109. The reversal of 6142080 is 802416.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13212 + ... + 13668.

It is an arithmetic number, because the mean of its divisors is an integer number (175185).

Almost surely, 2^6142080 is an apocalyptic number.

6142080 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 6142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211840).

6142080 is an abundant number, since it is smaller than the sum of its proper divisors (16281600).

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

6142080 is a wasteful number, since it uses less digits than its factorization.

6142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6142080 is about 2478.3220129757. The cubic root of 6142080 is about 183.1351982501.

Adding to 6142080 its reverse (802416), we get a palindrome (6944496).

The spelling of 6142080 in words is "six million, one hundred forty-two thousand, eighty".