41879160 has 128 divisors (see below), whose sum is σ = 147873600. Its totient is φ = 10506240.

The previous prime is 41879141. The next prime is 41879179. The reversal of 41879160 is 6197814.

It is an interprime number because it is at equal distance from previous prime (41879141) and next prime (41879179).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17220 + ... + 19500.

Almost surely, 2^41879160 is an apocalyptic number.

41879160 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 41879160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73936800).

41879160 is an abundant number, since it is smaller than the sum of its proper divisors (105994440).

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

41879160 is a wasteful number, since it uses less digits than its factorization.

41879160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 41879160 is about 6471.4109744321. The cubic root of 41879160 is about 347.2689767536.

The spelling of 41879160 in words is "forty-one million, eight hundred seventy-nine thousand, one hundred sixty".