40105620 has 72 divisors (see below), whose sum is σ = 122961384. Its totient is φ = 10579968.

The previous prime is 40105619. The next prime is 40105631. The reversal of 40105620 is 2650104.

It is a happy number.

40105620 is a `hidden beast` number, since 40 + 1 + 0 + 5 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 37015056 = 1758^2 + 6084^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40105593 and 40105602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16312 + ... + 18608.

It is an arithmetic number, because the mean of its divisors is an integer number (1707797).

Almost surely, 2^40105620 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 40105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61480692).

40105620 is an abundant number, since it is smaller than the sum of its proper divisors (82855764).

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

40105620 is a wasteful number, since it uses less digits than its factorization.

40105620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40105620 is about 6332.8998097238. The cubic root of 40105620 is about 342.2959375477.

Adding to 40105620 its reverse (2650104), we get a palindrome (42755724).

The spelling of 40105620 in words is "forty million, one hundred five thousand, six hundred twenty".