5667120 has 120 divisors (see below), whose sum is σ = 20195136. Its totient is φ = 1419264.

The previous prime is 5667113. The next prime is 5667133. The reversal of 5667120 is 217665.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12009 + ... + 12471.

Almost surely, 2^5667120 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 5667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10097568).

5667120 is an abundant number, since it is smaller than the sum of its proper divisors (14528016).

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

5667120 is a wasteful number, since it uses less digits than its factorization.

5667120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5667120 is about 2380.5713599890. The cubic root of 5667120 is about 178.2874621201.

It can be divided in two parts, 56 and 67120, that added together give a palindrome (67176).

The spelling of 5667120 in words is "five million, six hundred sixty-seven thousand, one hundred twenty".