41625936 has 90 divisors (see below), whose sum is σ = 128101610. Its totient is φ = 12608640.

The previous prime is 41625907. The next prime is 41625937. The reversal of 41625936 is 63952614.

It is a happy number.

41625936 is a `hidden beast` number, since 4 + 1 + 62 + 593 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 10890000 = 5544^2 + 3300^2 .

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 41625936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41625937) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16230 + ... + 18618.

Almost surely, 2^41625936 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 41625936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64050805).

41625936 is an abundant number, since it is smaller than the sum of its proper divisors (86475674).

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

41625936 is a wasteful number, since it uses less digits than its factorization.

41625936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2405 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 41625936 is about 6451.8164884008. The cubic root of 41625936 is about 346.5676360787.

The spelling of 41625936 in words is "forty-one million, six hundred twenty-five thousand, nine hundred thirty-six".