41136960 has 112 divisors (see below), whose sum is σ = 132624576. Its totient is φ = 10801152.

The previous prime is 41136941. The next prime is 41136961. The reversal of 41136960 is 6963114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41136961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69787 + ... + 70373.

It is an arithmetic number, because the mean of its divisors is an integer number (1184148).

Almost surely, 2^41136960 is an apocalyptic number.

41136960 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 41136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66312288).

41136960 is an abundant number, since it is smaller than the sum of its proper divisors (91487616).

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

41136960 is a wasteful number, since it uses less digits than its factorization.

41136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

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

The square root of 41136960 is about 6413.8101000887. The cubic root of 41136960 is about 345.2052548827.

The spelling of 41136960 in words is "forty-one million, one hundred thirty-six thousand, nine hundred sixty".