5835744 has 72 divisors (see below), whose sum is σ = 17336592. Its totient is φ = 1858560.

The previous prime is 5835701. The next prime is 5835761. The reversal of 5835744 is 4475385.

5835744 is a `hidden beast` number, since 5 + 83 + 574 + 4 = 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 a d-powerful number, because it can be written as 5² + 8⁴ + 3¹⁴ + 5² + 7² + 4 + 4¹⁰ .

It is a junction number, because it is equal to n+sod(n) for n = 5835699 and 5835708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6184 + ... + 7064.

It is an arithmetic number, because the mean of its divisors is an integer number (240786).

Almost surely, 2^5835744 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 5835744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296).

5835744 is an abundant number, since it is smaller than the sum of its proper divisors (11500848).

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

5835744 is a wasteful number, since it uses less digits than its factorization.

5835744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 5835744 is about 2415.7284615619. The cubic root of 5835744 is about 180.0385102788.

The spelling of 5835744 in words is "five million, eight hundred thirty-five thousand, seven hundred forty-four".