5417664 has 112 divisors (see below), whose sum is σ = 17068800. Its totient is φ = 1483776.

The previous prime is 5417597. The next prime is 5417681. The reversal of 5417664 is 4667145.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (20160) is a multiple of the sum of its prime divisors (180).

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, 38907 + ... + 39045.

It is an arithmetic number, because the mean of its divisors is an integer number (152400).

Almost surely, 2^5417664 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 5417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534400).

5417664 is an abundant number, since it is smaller than the sum of its proper divisors (11651136).

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

5417664 is a wasteful number, since it uses less digits than its factorization.

5417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 5417664 is about 2327.5875923368. The cubic root of 5417664 is about 175.6321518260.

The spelling of 5417664 in words is "five million, four hundred seventeen thousand, six hundred sixty-four".