5667840 has 176 divisors, whose sum is σ = 20633760. Its totient is φ = 1474560.

The previous prime is 5667803. The next prime is 5667841. The reversal of 5667840 is 487665.

It is a happy number.

5667840 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5667795 and 5667804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138220 + ... + 138260.

Almost surely, 2^5667840 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 5667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316880).

5667840 is an abundant number, since it is smaller than the sum of its proper divisors (14965920).

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

5667840 is a wasteful number, since it uses less digits than its factorization.

5667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5667840 is about 2380.7225793864. The cubic root of 5667840 is about 178.2950121947.

It can be divided in two parts, 56 and 67840, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 5667840 in words is "five million, six hundred sixty-seven thousand, eight hundred forty".