41564320 has 192 divisors, whose sum is σ = 124104960. Its totient is φ = 12828672.

The previous prime is 41564291. The next prime is 41564329. The reversal of 41564320 is 2346514.

41564320 = 531² + 532² + ... + 649².

It is not an unprimeable number, because it can be changed into a prime (41564329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704451 + ... + 704509.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 2^41564320 is an apocalyptic number.

41564320 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 41564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

41564320 is an abundant number, since it is smaller than the sum of its proper divisors (82540640).

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

41564320 is a wasteful number, since it uses less digits than its factorization.

41564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 41564320 is about 6447.0396307142. The cubic root of 41564320 is about 346.3965515856.

The spelling of 41564320 in words is "forty-one million, five hundred sixty-four thousand, three hundred twenty".