5788640 has 144 divisors (see below), whose sum is σ = 16892064. Its totient is φ = 1858560.

The previous prime is 5788639. The next prime is 5788693. The reversal of 5788640 is 468875.

5788640 = T₁₈₅ + T₁₈₆ + ... + T₃₄₄.

It is a d-powerful number, because it can be written as 5⁶ + 7⁸ + 8⁴ + 8⁴ + 6 + 4² + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 5788594 and 5788603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251669 + ... + 251691.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

Almost surely, 2^5788640 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 5788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446032).

5788640 is an abundant number, since it is smaller than the sum of its proper divisors (11103424).

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

5788640 is a wasteful number, since it uses less digits than its factorization.

5788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 5788640 is about 2405.9592681506. The cubic root of 5788640 is about 179.5527993383.

The spelling of 5788640 in words is "five million, seven hundred eighty-eight thousand, six hundred forty".