6113664 has 128 divisors (see below), whose sum is σ = 18972000. Its totient is φ = 1935360.

The previous prime is 6113663. The next prime is 6113669. The reversal of 6113664 is 4663116.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113663) 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, 100194 + ... + 100254.

Almost surely, 2^6113664 is an apocalyptic number.

6113664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486000).

6113664 is an abundant number, since it is smaller than the sum of its proper divisors (12858336).

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

6113664 is a wasteful number, since it uses less digits than its factorization.

6113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

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

The square root of 6113664 is about 2472.5824556524. The cubic root of 6113664 is about 182.8523399036.

The spelling of 6113664 in words is "six million, one hundred thirteen thousand, six hundred sixty-four".