5585376 has 48 divisors (see below), whose sum is σ = 14881104. Its totient is φ = 1833984.

The previous prime is 5585369. The next prime is 5585383. The reversal of 5585376 is 6735855.

It is an interprime number because it is at equal distance from previous prime (5585369) and next prime (5585383).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5585376² = 62392850122752, which contains 22 as substring.

Its product of digits (126000) is a multiple of the sum of its prime divisors (875).

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 7 ways as a sum of consecutive naturals, for example, 6610 + ... + 7406.

It is an arithmetic number, because the mean of its divisors is an integer number (310023).

Almost surely, 2^5585376 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 5585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440552).

5585376 is an abundant number, since it is smaller than the sum of its proper divisors (9295728).

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

5585376 is a wasteful number, since it uses less digits than its factorization.

5585376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 5585376 is about 2363.3400093935. The cubic root of 5585376 is about 177.4260857363.

The spelling of 5585376 in words is "five million, five hundred eighty-five thousand, three hundred seventy-six".