5187456 has 128 divisors (see below), whose sum is σ = 16320000. Its totient is φ = 1617408.

The previous prime is 5187449. The next prime is 5187487. The reversal of 5187456 is 6547815.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5187456.

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, 65625 + ... + 65703.

It is an arithmetic number, because the mean of its divisors is an integer number (127500).

Almost surely, 2^5187456 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 5187456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160000).

5187456 is an abundant number, since it is smaller than the sum of its proper divisors (11132544).

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

5187456 is a wasteful number, since it uses less digits than its factorization.

5187456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 5187456 is about 2277.5987355107. The cubic root of 5187456 is about 173.1083998819.

The spelling of 5187456 in words is "five million, one hundred eighty-seven thousand, four hundred fifty-six".