6131664 has 180 divisors, whose sum is σ = 22052160. Its totient is φ = 1572480.

The previous prime is 6131663. The next prime is 6131669. The reversal of 6131664 is 4661316.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6131663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77577 + ... + 77655.

It is an arithmetic number, because the mean of its divisors is an integer number (122512).

Almost surely, 2^6131664 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 6131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026080).

6131664 is an abundant number, since it is smaller than the sum of its proper divisors (15920496).

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

6131664 is a wasteful number, since it uses less digits than its factorization.

6131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 6131664 is about 2476.2196994613. The cubic root of 6131664 is about 183.0316168610.

The spelling of 6131664 in words is "six million, one hundred thirty-one thousand, six hundred sixty-four".