41582160 has 280 divisors, whose sum is σ = 156132864. Its totient is φ = 10264320.

The previous prime is 41582131. The next prime is 41582171. The reversal of 41582160 is 6128514.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1341345 + ... + 1341375.

Almost surely, 2^41582160 is an apocalyptic number.

41582160 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 41582160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78066432).

41582160 is an abundant number, since it is smaller than the sum of its proper divisors (114550704).

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

41582160 is a wasteful number, since it uses less digits than its factorization.

41582160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 41582160 is about 6448.4230630442. The cubic root of 41582160 is about 346.4461039464.

The spelling of 41582160 in words is "forty-one million, five hundred eighty-two thousand, one hundred sixty".