41168664 has 48 divisors (see below), whose sum is σ = 112858200. Its totient is φ = 13557552.

The previous prime is 41168639. The next prime is 41168669. The reversal of 41168664 is 46686114.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41168669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495967 + ... + 496049.

Almost surely, 2^41168664 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 41168664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56429100).

41168664 is an abundant number, since it is smaller than the sum of its proper divisors (71689536).

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

41168664 is an frugal number, since it uses more digits than its factorization.

41168664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 88 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41168664 is about 6416.2811659091. The cubic root of 41168664 is about 345.2939146266.

The spelling of 41168664 in words is "forty-one million, one hundred sixty-eight thousand, six hundred sixty-four".