5457760 has 96 divisors (see below), whose sum is σ = 16111872. Its totient is φ = 1697280.

The previous prime is 5457743. The next prime is 5457773. The reversal of 5457760 is 677545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12099 + ... + 12541.

It is an arithmetic number, because the mean of its divisors is an integer number (167832).

Almost surely, 2^5457760 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 5457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055936).

5457760 is an abundant number, since it is smaller than the sum of its proper divisors (10654112).

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

5457760 is a wasteful number, since it uses less digits than its factorization.

5457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 5457760 is about 2336.1849241873. The cubic root of 5457760 is about 176.0643703936.

The spelling of 5457760 in words is "five million, four hundred fifty-seven thousand, seven hundred sixty".