5738880 has 192 divisors, whose sum is σ = 21628080. Its totient is φ = 1290240.

The previous prime is 5738867. The next prime is 5738903. The reversal of 5738880 is 888375.

It is a tau number, because it is divible by the number of its divisors (192).

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, 94050 + ... + 94110.

Almost surely, 2^5738880 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 5738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814040).

5738880 is an abundant number, since it is smaller than the sum of its proper divisors (15889200).

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

5738880 is a wasteful number, since it uses less digits than its factorization.

5738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 5738880 is about 2395.5959592552. The cubic root of 5738880 is about 179.0368306390.

It can be divided in two parts, 573 and 8880, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 5738880 in words is "five million, seven hundred thirty-eight thousand, eight hundred eighty".