5605152 has 96 divisors (see below), whose sum is σ = 17740800. Its totient is φ = 1513728.

The previous prime is 5605147. The next prime is 5605163. The reversal of 5605152 is 2515065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12549 + ... + 12987.

It is an arithmetic number, because the mean of its divisors is an integer number (184800).

Almost surely, 2^5605152 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 5605152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870400).

5605152 is an abundant number, since it is smaller than the sum of its proper divisors (12135648).

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

5605152 is a wasteful number, since it uses less digits than its factorization.

5605152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5605152 is about 2367.5202216665. The cubic root of 5605152 is about 177.6352417687.

The spelling of 5605152 in words is "five million, six hundred five thousand, one hundred fifty-two".