41537664 has 256 divisors, whose sum is σ = 149817600. Its totient is φ = 11059200.

The previous prime is 41537659. The next prime is 41537669. The reversal of 41537664 is 46673514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41537659) and next prime (41537669).

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

It is not an unprimeable number, because it can be changed into a prime (41537669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411214 + ... + 411314.

It is an arithmetic number, because the mean of its divisors is an integer number (585225).

Almost surely, 2^41537664 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 41537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74908800).

41537664 is an abundant number, since it is smaller than the sum of its proper divisors (108279936).

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

41537664 is a wasteful number, since it uses less digits than its factorization.

41537664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 41537664 is about 6444.9719937328. The cubic root of 41537664 is about 346.3224854870.

The spelling of 41537664 in words is "forty-one million, five hundred thirty-seven thousand, six hundred sixty-four".