5003648 has 64 divisors (see below), whose sum is σ = 11195520. Its totient is φ = 2211840.

The previous prime is 5003633. The next prime is 5003653. The reversal of 5003648 is 8463005.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51536 + ... + 51632.

It is an arithmetic number, because the mean of its divisors is an integer number (174930).

Almost surely, 2^5003648 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 5003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597760).

5003648 is an abundant number, since it is smaller than the sum of its proper divisors (6191872).

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

5003648 is a wasteful number, since it uses less digits than its factorization.

5003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5003648 is about 2236.8835463653. The cubic root of 5003648 is about 171.0391711729.

The spelling of 5003648 in words is "five million, three thousand, six hundred forty-eight".