5508864 has 72 divisors (see below), whose sum is σ = 16311120. Its totient is φ = 1833984.

The previous prime is 5508857. The next prime is 5508871. The reversal of 5508864 is 4688055.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5508857) and next prime (5508871).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6514 + ... + 7310.

Almost surely, 2^5508864 is an apocalyptic number.

5508864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155560).

5508864 is an abundant number, since it is smaller than the sum of its proper divisors (10802256).

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

5508864 is an equidigital number, since it uses as much as digits as its factorization.

5508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

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

The square root of 5508864 is about 2347.0969302523. The cubic root of 5508864 is about 176.6121931654.

The spelling of 5508864 in words is "five million, five hundred eight thousand, eight hundred sixty-four".