5808672 has 96 divisors (see below), whose sum is σ = 17357760. Its totient is φ = 1912896.

The previous prime is 5808653. The next prime is 5808689. The reversal of 5808672 is 2768085.

5808672 is a `hidden beast` number, since 580 + 8 + 6 + 72 = 666.

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 (36).

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 15 ways as a sum of consecutive naturals, for example, 69943 + ... + 70025.

It is an arithmetic number, because the mean of its divisors is an integer number (180810).

Almost surely, 2^5808672 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 5808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678880).

5808672 is an abundant number, since it is smaller than the sum of its proper divisors (11549088).

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

5808672 is an frugal number, since it uses more digits than its factorization.

5808672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5808672 is about 2410.1186692775. The cubic root of 5808672 is about 179.7596792870.

The spelling of 5808672 in words is "five million, eight hundred eight thousand, six hundred seventy-two".