41631564 has 96 divisors (see below), whose sum is σ = 112218624. Its totient is φ = 11911680.

The previous prime is 41631563. The next prime is 41631581. The reversal of 41631564 is 46513614.

It is not an unprimeable number, because it can be changed into a prime (41631563) 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, 146967 + ... + 147249.

It is an arithmetic number, because the mean of its divisors is an integer number (1168944).

Almost surely, 2^41631564 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 41631564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56109312).

41631564 is an abundant number, since it is smaller than the sum of its proper divisors (70587060).

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

41631564 is a wasteful number, since it uses less digits than its factorization.

41631564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 41631564 is about 6452.2526298960. The cubic root of 41631564 is about 346.5832545043.

It can be divided in two parts, 41631 and 564, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 41631564 in words is "forty-one million, six hundred thirty-one thousand, five hundred sixty-four".