41936160 has 144 divisors (see below), whose sum is σ = 153752256. Its totient is φ = 9580032.

The previous prime is 41936131. The next prime is 41936183. The reversal of 41936160 is 6163914.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 22629 + ... + 24411.

It is an arithmetic number, because the mean of its divisors is an integer number (1067724).

Almost surely, 2^41936160 is an apocalyptic number.

41936160 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 41936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76876128).

41936160 is an abundant number, since it is smaller than the sum of its proper divisors (111816096).

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

41936160 is a wasteful number, since it uses less digits than its factorization.

41936160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 41936160 is about 6475.8134624154. The cubic root of 41936160 is about 347.4264564964.

The spelling of 41936160 in words is "forty-one million, nine hundred thirty-six thousand, one hundred sixty".