41653680 has 80 divisors (see below), whose sum is σ = 129929184. Its totient is φ = 11038720.

The previous prime is 41653679. The next prime is 41653687. The reversal of 41653680 is 8635614.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (41653687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46840 + ... + 47720.

Almost surely, 2^41653680 is an apocalyptic number.

41653680 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 41653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64964592).

41653680 is an abundant number, since it is smaller than the sum of its proper divisors (88275504).

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

41653680 is a wasteful number, since it uses less digits than its factorization.

41653680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 41653680 is about 6453.9662224093. The cubic root of 41653680 is about 346.6446156257.

The spelling of 41653680 in words is "forty-one million, six hundred fifty-three thousand, six hundred eighty".