41766816 has 144 divisors (see below), whose sum is σ = 137549664. Its totient is φ = 10999296.

The previous prime is 41766797. The next prime is 41766847. The reversal of 41766816 is 61866714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

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, 60811 + ... + 61493.

It is an arithmetic number, because the mean of its divisors is an integer number (955206).

Almost surely, 2^41766816 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 41766816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68774832).

41766816 is an abundant number, since it is smaller than the sum of its proper divisors (95782848).

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

41766816 is a wasteful number, since it uses less digits than its factorization.

41766816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 708 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 41766816 is about 6462.7251218043. The cubic root of 41766816 is about 346.9581736108.

The spelling of 41766816 in words is "forty-one million, seven hundred sixty-six thousand, eight hundred sixteen".