5485760 has 112 divisors (see below), whose sum is σ = 15605760. Its totient is φ = 1797120.

The previous prime is 5485757. The next prime is 5485763. The reversal of 5485760 is 675845.

It is an interprime number because it is at equal distance from previous prime (5485757) and next prime (5485763).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5485760.

It is not an unprimeable number, because it can be changed into a prime (5485763) 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, 69401 + ... + 69479.

Almost surely, 2^5485760 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 5485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802880).

5485760 is an abundant number, since it is smaller than the sum of its proper divisors (10120000).

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

5485760 is a wasteful number, since it uses less digits than its factorization.

5485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 5485760 is about 2342.1699340569. The cubic root of 5485760 is about 176.3649452233.

The spelling of 5485760 in words is "five million, four hundred eighty-five thousand, seven hundred sixty".