5737760 has 96 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1907712.

The previous prime is 5737757. The next prime is 5737769. The reversal of 5737760 is 677375.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5737760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5737769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52586 + ... + 52694.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 2^5737760 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 5737760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5737760 is an abundant number, since it is smaller than the sum of its proper divisors (10228960).

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

5737760 is a wasteful number, since it uses less digits than its factorization.

5737760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 35.

The square root of 5737760 is about 2395.3621855577. The cubic root of 5737760 is about 179.0251829367.

The spelling of 5737760 in words is "five million, seven hundred thirty-seven thousand, seven hundred sixty".