6048064 has 56 divisors (see below), whose sum is σ = 13386816. Its totient is φ = 2710400.

The previous prime is 6048013. The next prime is 6048067. The reversal of 6048064 is 4608406.

6048064 = 412² + 413² + ... + 444².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6048067) 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, 85149 + ... + 85219.

Almost surely, 2^6048064 is an apocalyptic number.

6048064 is a gapful number since it is divisible by the number (64) 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 6048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693408).

6048064 is an abundant number, since it is smaller than the sum of its proper divisors (7338752).

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

6048064 is an equidigital number, since it uses as much as digits as its factorization.

6048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6048064 is about 2459.2811957969. The cubic root of 6048064 is about 182.1959809746.

It can be divided in two parts, 604 and 8064, that added together give a palindrome (8668).

The spelling of 6048064 in words is "six million, forty-eight thousand, sixty-four".