41867640 has 96 divisors (see below), whose sum is σ = 143254800. Its totient is φ = 10575360.

The previous prime is 41867633. The next prime is 41867641. The reversal of 41867640 is 4676814.

41867640 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41867595 and 41867604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41867641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3780 + ... + 9900.

Almost surely, 2^41867640 is an apocalyptic number.

41867640 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 41867640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71627400).

41867640 is an abundant number, since it is smaller than the sum of its proper divisors (101387160).

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

41867640 is a wasteful number, since it uses less digits than its factorization.

41867640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6157 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 41867640 is about 6470.5208445689. The cubic root of 41867640 is about 347.2371319133.

The spelling of 41867640 in words is "forty-one million, eight hundred sixty-seven thousand, six hundred forty".