41006736 has 120 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 13343616.

The previous prime is 41006729. The next prime is 41006741. The reversal of 41006736 is 63760014.

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

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, 205965 + ... + 206163.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^41006736 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 41006736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

41006736 is an abundant number, since it is smaller than the sum of its proper divisors (80860464).

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

41006736 is a wasteful number, since it uses less digits than its factorization.

41006736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 41006736 is about 6403.6502090605. The cubic root of 41006736 is about 344.8406068996.

The spelling of 41006736 in words is "forty-one million, six thousand, seven hundred thirty-six".