6238080 has 192 divisors, whose sum is σ = 23317200. Its totient is φ = 1575936.

The previous prime is 6238079. The next prime is 6238087. The reversal of 6238080 is 808326.

6238080 = 10² + 11² + ... + 265².

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6238087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328311 + ... + 328329.

Almost surely, 2^6238080 is an apocalyptic number.

6238080 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 6238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658600).

6238080 is an abundant number, since it is smaller than the sum of its proper divisors (17079120).

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

6238080 is a wasteful number, since it uses less digits than its factorization.

6238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6238080 is about 2497.6148622236. The cubic root of 6238080 is about 184.0843973255.

The spelling of 6238080 in words is "six million, two hundred thirty-eight thousand, eighty".