5261760 has 280 divisors, whose sum is σ = 22128480. Its totient is φ = 1161216.

The previous prime is 5261749. The next prime is 5261761. The reversal of 5261760 is 671625.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×5261760² = 55372236595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181426 + ... + 181454.

Almost surely, 2^5261760 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 5261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064240).

5261760 is an abundant number, since it is smaller than the sum of its proper divisors (16866720).

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

5261760 is a wasteful number, since it uses less digits than its factorization.

5261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5261760 is about 2293.8526543787. The cubic root of 5261760 is about 173.9310071300.

The spelling of 5261760 in words is "five million, two hundred sixty-one thousand, seven hundred sixty".