41832960 has 160 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 10272768.

The previous prime is 41832941. The next prime is 41832979. The reversal of 41832960 is 6923814.

It is an interprime number because it is at equal distance from previous prime (41832941) and next prime (41832979).

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99631 + ... + 100049.

It is an arithmetic number, because the mean of its divisors is an integer number (902286).

Almost surely, 2^41832960 is an apocalyptic number.

41832960 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 41832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

41832960 is an abundant number, since it is smaller than the sum of its proper divisors (102532800).

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

41832960 is a wasteful number, since it uses less digits than its factorization.

41832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 41832960 is about 6467.8404433010. The cubic root of 41832960 is about 347.1412303991.

The spelling of 41832960 in words is "forty-one million, eight hundred thirty-two thousand, nine hundred sixty".