41610672 has 100 divisors (see below), whose sum is σ = 122042536. Its totient is φ = 13685760.

The previous prime is 41610637. The next prime is 41610697. The reversal of 41610672 is 27601614.

41610672 is a `hidden beast` number, since 41 + 610 + 6 + 7 + 2 = 666.

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 19 ways as a sum of consecutive naturals, for example, 125547 + ... + 125877.

Almost surely, 2^41610672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41610672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61021268).

41610672 is an abundant number, since it is smaller than the sum of its proper divisors (80431864).

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

41610672 is a wasteful number, since it uses less digits than its factorization.

41610672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 41610672 is about 6450.6334572660. The cubic root of 41610672 is about 346.5252694226.

The spelling of 41610672 in words is "forty-one million, six hundred ten thousand, six hundred seventy-two".