5737680 has 120 divisors (see below), whose sum is σ = 20785128. Its totient is φ = 1410048.

The previous prime is 5737643. The next prime is 5737703. The reversal of 5737680 is 867375.

5737680 is a `hidden beast` number, since 573 + 7 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 5419584 = 564^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 9054 + ... + 9666.

Almost surely, 2^5737680 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 5737680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392564).

5737680 is an abundant number, since it is smaller than the sum of its proper divisors (15047448).

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

5737680 is a wasteful number, since it uses less digits than its factorization.

5737680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5737680 is about 2395.3454865635. The cubic root of 5737680 is about 179.0243509000.

The spelling of 5737680 in words is "five million, seven hundred thirty-seven thousand, six hundred eighty".