41672600 has 48 divisors (see below), whose sum is σ = 97895520. Its totient is φ = 16496000.

The previous prime is 41672591. The next prime is 41672611. The reversal of 41672600 is 627614.

It is a self number, because there is not a number n which added to its sum of digits gives 41672600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19169 + ... + 21231.

It is an arithmetic number, because the mean of its divisors is an integer number (2039490).

Almost surely, 2^41672600 is an apocalyptic number.

41672600 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 41672600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48947760).

41672600 is an abundant number, since it is smaller than the sum of its proper divisors (56222920).

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

41672600 is a wasteful number, since it uses less digits than its factorization.

41672600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 41672600 is about 6455.4318213424. The cubic root of 41672600 is about 346.6970921685.

The spelling of 41672600 in words is "forty-one million, six hundred seventy-two thousand, six hundred".