5793648 has 80 divisors (see below), whose sum is σ = 17546496. Its totient is φ = 1612800.

The previous prime is 5793637. The next prime is 5793653. The reversal of 5793648 is 8463975.

It is a happy number.

It is a Cunningham number, because it is equal to 2407²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 5⁵ + 7 + 9² + 3¹³ + 6⁴ + 4¹¹ + 8³ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14248 + ... + 14648.

Almost surely, 2^5793648 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 5793648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773248).

5793648 is an abundant number, since it is smaller than the sum of its proper divisors (11752848).

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

5793648 is a wasteful number, since it uses less digits than its factorization.

5793648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 5793648 is about 2406.9997922725. Note that the first 3 decimals coincide. The cubic root of 5793648 is about 179.6045640148.

It can be divided in two parts, 5793 and 648, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 5793648 in words is "five million, seven hundred ninety-three thousand, six hundred forty-eight".