41665680 has 180 divisors, whose sum is σ = 162910332. Its totient is φ = 9515520.

The previous prime is 41665639. The next prime is 41665709. The reversal of 41665680 is 8656614.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 13660416 = 5292^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34690 + ... + 35870.

Almost surely, 2^41665680 is an apocalyptic number.

41665680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81455166).

41665680 is an abundant number, since it is smaller than the sum of its proper divisors (121244652).

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

41665680 is a wasteful number, since it uses less digits than its factorization.

41665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 41665680 is about 6454.8958163552. The cubic root of 41665680 is about 346.6779006879.

The spelling of 41665680 in words is "forty-one million, six hundred sixty-five thousand, six hundred eighty".