5456880 has 240 divisors, whose sum is σ = 21936096. Its totient is φ = 1198080.

The previous prime is 5456879. The next prime is 5456897. The reversal of 5456880 is 886545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102934 + ... + 102986.

Almost surely, 2^5456880 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 5456880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048).

5456880 is an abundant number, since it is smaller than the sum of its proper divisors (16479216).

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

5456880 is a wasteful number, since it uses less digits than its factorization.

5456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5456880 is about 2335.9965753400. The cubic root of 5456880 is about 176.0549071111.

It can be divided in two parts, 5456 and 880, that added together give a palindrome (6336).

The spelling of 5456880 in words is "five million, four hundred fifty-six thousand, eight hundred eighty".