5906304 has 64 divisors (see below), whose sum is σ = 17442000. Its totient is φ = 1967616.

The previous prime is 5906297. The next prime is 5906309. The reversal of 5906304 is 4036095.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5906309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2602 + ... + 4310.

Almost surely, 2^5906304 is an apocalyptic number.

5906304 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 5906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721000).

5906304 is an abundant number, since it is smaller than the sum of its proper divisors (11535696).

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

5906304 is a wasteful number, since it uses less digits than its factorization.

5906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5906304 is about 2430.2888717188. The cubic root of 5906304 is about 180.7612207011.

The spelling of 5906304 in words is "five million, nine hundred six thousand, three hundred four".