41827680 has 144 divisors (see below), whose sum is σ = 147498624. Its totient is φ = 10782720.

The previous prime is 41827679. The next prime is 41827699. The reversal of 41827680 is 8672814.

It is a tau number, because it is divible by the number of its divisors (144).

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, 44172 + ... + 45108.

It is an arithmetic number, because the mean of its divisors is an integer number (1024296).

Almost surely, 2^41827680 is an apocalyptic number.

41827680 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 41827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73749312).

41827680 is an abundant number, since it is smaller than the sum of its proper divisors (105670944).

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

41827680 is a wasteful number, since it uses less digits than its factorization.

41827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 41827680 is about 6467.4322570863. The cubic root of 41827680 is about 347.1266248280.

The spelling of 41827680 in words is "forty-one million, eight hundred twenty-seven thousand, six hundred eighty".