41564160 has 288 divisors, whose sum is σ = 160982640. Its totient is φ = 9830400.

The previous prime is 41564147. The next prime is 41564177. The reversal of 41564160 is 6146514.

41564160 is a `hidden beast` number, since 4 + 15 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013740 + ... + 1013780.

Almost surely, 2^41564160 is an apocalyptic number.

41564160 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 41564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320).

41564160 is an abundant number, since it is smaller than the sum of its proper divisors (119418480).

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

41564160 is a wasteful number, since it uses less digits than its factorization.

41564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 41564160 is about 6447.0272219062. The cubic root of 41564160 is about 346.3961071056.

The spelling of 41564160 in words is "forty-one million, five hundred sixty-four thousand, one hundred sixty".