4527648 has 72 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 1482624.

The previous prime is 4527641. The next prime is 4527673. The reversal of 4527648 is 8467254.

4527648 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (4527641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22653 + ... + 22851.

It is an arithmetic number, because the mean of its divisors is an integer number (182000).

Almost surely, 2^4527648 is an apocalyptic number.

4527648 is a gapful number since it is divisible by the number (48) 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 4527648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

4527648 is an abundant number, since it is smaller than the sum of its proper divisors (8576352).

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

4527648 is a wasteful number, since it uses less digits than its factorization.

4527648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4527648 is about 2127.8270606419. The cubic root of 4527648 is about 165.4337896847.

It can be divided in two parts, 452 and 7648, that added together give a square (8100 = 90²).

The spelling of 4527648 in words is "four million, five hundred twenty-seven thousand, six hundred forty-eight".