41587164 has 36 divisors (see below), whose sum is σ = 106063776. Its totient is φ = 13738368.

The previous prime is 41587127. The next prime is 41587193. The reversal of 41587164 is 46178514.

It is a happy number.

41587164 is a `hidden beast` number, since 415 + 87 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 1044 + ... + 9179.

It is an arithmetic number, because the mean of its divisors is an integer number (2946216).

Almost surely, 2^41587164 is an apocalyptic number.

It is an amenable number.

41587164 is an abundant number, since it is smaller than the sum of its proper divisors (64476612).

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

41587164 is a wasteful number, since it uses less digits than its factorization.

41587164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10341 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 41587164 is about 6448.8110532097. The cubic root of 41587164 is about 346.4600005050.

The spelling of 41587164 in words is "forty-one million, five hundred eighty-seven thousand, one hundred sixty-four".