41820624 has 150 divisors (see below), whose sum is σ = 128606786. Its totient is φ = 13115520.

The previous prime is 41820617. The next prime is 41820661. The reversal of 41820624 is 42602814.

41820624 is a `hidden beast` number, since 4 + 18 + 20 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24681024 + 17139600 = 4968^2 + 4140^2 .

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

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 685554 + ... + 685614.

Almost surely, 2^41820624 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 41820624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64303393).

41820624 is an abundant number, since it is smaller than the sum of its proper divisors (86786162).

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

41820624 is a wasteful number, since it uses less digits than its factorization.

With its successor (41820625) it forms an eRAP, since the sums of their prime factors are consecutive (127 and 128).

41820624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41820624 is about 6466.8867316507. The cubic root of 41820624 is about 347.1071045549.

The spelling of 41820624 in words is "forty-one million, eight hundred twenty thousand, six hundred twenty-four".