6632064 has 128 divisors (see below), whose sum is σ = 20808000. Its totient is φ = 2073600.

The previous prime is 6632063. The next prime is 6632113. The reversal of 6632064 is 4602366.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (6632063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65614 + ... + 65714.

Almost surely, 2^6632064 is an apocalyptic number.

6632064 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 6632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404000).

6632064 is an abundant number, since it is smaller than the sum of its proper divisors (14175936).

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

6632064 is a wasteful number, since it uses less digits than its factorization.

6632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6632064 is about 2575.2794023173. The cubic root of 6632064 is about 187.8810172136.

The spelling of 6632064 in words is "six million, six hundred thirty-two thousand, sixty-four".