41646096 has 80 divisors (see below), whose sum is σ = 120528000. Its totient is φ = 13767552.

The previous prime is 41646091. The next prime is 41646139. The reversal of 41646096 is 69064614.

41646096 is a `hidden beast` number, since 4 + 1 + 646 + 0 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41646096.

It is not an unprimeable number, because it can be changed into a prime (41646091) 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, 64045 + ... + 64691.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 2^41646096 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 41646096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264000).

41646096 is an abundant number, since it is smaller than the sum of its proper divisors (78881904).

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

41646096 is a wasteful number, since it uses less digits than its factorization.

41646096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 41646096 is about 6453.3786499786. The cubic root of 41646096 is about 346.6235761694.

The spelling of 41646096 in words is "forty-one million, six hundred forty-six thousand, ninety-six".