41796000 has 288 divisors, whose sum is σ = 157405248. Its totient is φ = 10886400.

The previous prime is 41795981. The next prime is 41796011. The reversal of 41796000 is 69714.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971979 + ... + 972021.

It is an arithmetic number, because the mean of its divisors is an integer number (546546).

Almost surely, 2^41796000 is an apocalyptic number.

41796000 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 41796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78702624).

41796000 is an abundant number, since it is smaller than the sum of its proper divisors (115609248).

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

41796000 is an equidigital number, since it uses as much as digits as its factorization.

41796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 41796000 is about 6464.9825985845. The cubic root of 41796000 is about 347.0389655795.

The spelling of 41796000 in words is "forty-one million, seven hundred ninety-six thousand".