6634848 has 96 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 1958400.

The previous prime is 6634841. The next prime is 6634853. The reversal of 6634848 is 8484366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6634841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64365 + ... + 64467.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^6634848 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 6634848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

6634848 is an abundant number, since it is smaller than the sum of its proper divisors (12863904).

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

6634848 is a wasteful number, since it uses less digits than its factorization.

6634848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 6634848 is about 2575.8198694785. The cubic root of 6634848 is about 187.9073030264.

Subtracting from 6634848 its product of digits (110592), we obtain a palindrome (6524256).

It can be divided in two parts, 66 and 34848, that multiplied together give a cube (2299968 = 132³).

The spelling of 6634848 in words is "six million, six hundred thirty-four thousand, eight hundred forty-eight".