6138880 has 88 divisors (see below), whose sum is σ = 16212240. Its totient is φ = 2211840.

The previous prime is 6138877. The next prime is 6138883. The reversal of 6138880 is 888316.

It is an interprime number because it is at equal distance from previous prime (6138877) and next prime (6138883).

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (6138883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56266 + ... + 56374.

It is an arithmetic number, because the mean of its divisors is an integer number (184230).

Almost surely, 2^6138880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106120).

6138880 is an abundant number, since it is smaller than the sum of its proper divisors (10073360).

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

6138880 is a wasteful number, since it uses less digits than its factorization.

6138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 6138880 is about 2477.6763307583. The cubic root of 6138880 is about 183.1033884812.

The spelling of 6138880 in words is "six million, one hundred thirty-eight thousand, eight hundred eighty".