5754560 has 84 divisors (see below), whose sum is σ = 15983712. Its totient is φ = 1967616.

The previous prime is 5754547. The next prime is 5754571. The reversal of 5754560 is 654575.

It is a happy number.

It is a super-2 number, since 2×5754560² = 66229921587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15497 + ... + 15863.

Almost surely, 2^5754560 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 5754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991856).

5754560 is an abundant number, since it is smaller than the sum of its proper divisors (10229152).

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

5754560 is a wasteful number, since it uses less digits than its factorization.

5754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 5754560 is about 2398.8663989476. The cubic root of 5754560 is about 179.1997395830.

Subtracting from 5754560 its sum of digits (32), we obtain a triangular number (5754528 = T₃₃₉₂).

The spelling of 5754560 in words is "five million, seven hundred fifty-four thousand, five hundred sixty".