40013620 has 48 divisors (see below), whose sum is σ = 91526400. Its totient is φ = 14636160.

The previous prime is 40013593. The next prime is 40013627. The reversal of 40013620 is 2631004.

It is a junction number, because it is equal to n+sod(n) for n = 40013594 and 40013603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40013627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9205 + ... + 12835.

It is an arithmetic number, because the mean of its divisors is an integer number (1906800).

Almost surely, 2^40013620 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 40013620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45763200).

40013620 is an abundant number, since it is smaller than the sum of its proper divisors (51512780).

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

40013620 is a wasteful number, since it uses less digits than its factorization.

40013620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 40013620 is about 6325.6319842368. The cubic root of 40013620 is about 342.0340013845.

Adding to 40013620 its reverse (2631004), we get a palindrome (42644624).

The spelling of 40013620 in words is "forty million, thirteen thousand, six hundred twenty".