41627664 has 120 divisors (see below), whose sum is σ = 129066392. Its totient is φ = 12441600.

The previous prime is 41627659. The next prime is 41627671. The reversal of 41627664 is 46672614.

It can be written as a sum of positive squares in 4 ways, for example, as 13749264 + 27878400 = 3708^2 + 5280^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68964 + ... + 69564.

Almost surely, 2^41627664 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 41627664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64533196).

41627664 is an abundant number, since it is smaller than the sum of its proper divisors (87438728).

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

41627664 is a wasteful number, since it uses less digits than its factorization.

41627664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 41627664 is about 6451.9504027852. The cubic root of 41627664 is about 346.5724316512.

The spelling of 41627664 in words is "forty-one million, six hundred twenty-seven thousand, six hundred sixty-four".