5913648 has 120 divisors (see below), whose sum is σ = 18607440. Its totient is φ = 1819584.

The previous prime is 5913643. The next prime is 5913679. The reversal of 5913648 is 8463195.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5913648 is a `hidden beast` number, since 5 + 9 + 1 + 3 + 648 = 666.

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

Its product of digits (25920) is a multiple of the sum of its prime divisors (18).

It is not an unprimeable number, because it can be changed into a prime (5913643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454890 + ... + 454902.

It is an arithmetic number, because the mean of its divisors is an integer number (155062).

Almost surely, 2^5913648 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 5913648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303720).

5913648 is an abundant number, since it is smaller than the sum of its proper divisors (12693792).

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

5913648 is an equidigital number, since it uses as much as digits as its factorization.

5913648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 18 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5913648 is about 2431.7993338267. The cubic root of 5913648 is about 180.8361102072.

It can be divided in two parts, 5913 and 648, that added together give a 8-th power (6561 = 3⁸).

The spelling of 5913648 in words is "five million, nine hundred thirteen thousand, six hundred forty-eight".