6166944 has 216 divisors, whose sum is σ = 22407840. Its totient is φ = 1596672.

The previous prime is 6166943. The next prime is 6166973. The reversal of 6166944 is 4496616.

6166944 = 14³ + 15³ + ... + 70³.

6166944 is nontrivially palindromic in base 11.

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

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

Its product of digits (31104) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 6166899 and 6166908.

It is not an unprimeable number, because it can be changed into a prime (6166943) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268117 + ... + 268139.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 2^6166944 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 6166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

6166944 is an abundant number, since it is smaller than the sum of its proper divisors (16240896).

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

6166944 is a wasteful number, since it uses less digits than its factorization.

6166944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6166944 is about 2483.3332438479. Note that the first 3 decimals coincide. The cubic root of 6166944 is about 183.3819845171.

The spelling of 6166944 in words is "six million, one hundred sixty-six thousand, nine hundred forty-four".