10013620 has 36 divisors (see below), whose sum is σ = 21770532. Its totient is φ = 3868800.

The previous prime is 10013611. The next prime is 10013621. The reversal of 10013620 is 2631001.

10013620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3232804 + 6780816 = 1798^2 + 2604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10013620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18960 + ... + 19480.

It is an arithmetic number, because the mean of its divisors is an integer number (604737).

Almost surely, 2^10013620 is an apocalyptic number.

10013620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10885266).

10013620 is an abundant number, since it is smaller than the sum of its proper divisors (11756912).

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

10013620 is a wasteful number, since it uses less digits than its factorization.

10013620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10013620 is about 3164.4304384834. The cubic root of 10013620 is about 215.5412359653.

Adding to 10013620 its reverse (2631001), we get a palindrome (12644621).

The spelling of 10013620 in words is "ten million, thirteen thousand, six hundred twenty".