5679648 has 144 divisors (see below), whose sum is σ = 18299736. Its totient is φ = 1658880.

The previous prime is 5679637. The next prime is 5679673. The reversal of 5679648 is 8469765.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 2039184 = 1908^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (362880) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138508 + ... + 138548.

Almost surely, 2^5679648 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 5679648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149868).

5679648 is an abundant number, since it is smaller than the sum of its proper divisors (12620088).

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

5679648 is a wasteful number, since it uses less digits than its factorization.

5679648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5679648 is about 2383.2012084589. The cubic root of 5679648 is about 178.4187422915.

The spelling of 5679648 in words is "five million, six hundred seventy-nine thousand, six hundred forty-eight".