6634656 has 96 divisors (see below), whose sum is σ = 22135680. Its totient is φ = 1893888.

The previous prime is 6634643. The next prime is 6634673. The reversal of 6634656 is 6564366.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6⁴ + 6⁸ + 3¹³ + 4³ + 6⁸ + 5³ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 6634656.

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, 5500 + ... + 6596.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 2^6634656 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 6634656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067840).

6634656 is an abundant number, since it is smaller than the sum of its proper divisors (15501024).

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

6634656 is a wasteful number, since it uses less digits than its factorization.

6634656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1109 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 6634656 is about 2575.7825995219. The cubic root of 6634656 is about 187.9054904478.

The spelling of 6634656 in words is "six million, six hundred thirty-four thousand, six hundred fifty-six".