10061620 has 48 divisors (see below), whose sum is σ = 22670928. Its totient is φ = 3737600.

The previous prime is 10061617. The next prime is 10061629. The reversal of 10061620 is 2616001.

It can be written as a sum of positive squares in 8 ways, for example, as 3640464 + 6421156 = 1908^2 + 2534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10061594 and 10061603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34194 + ... + 34486.

It is an arithmetic number, because the mean of its divisors is an integer number (472311).

Almost surely, 2^10061620 is an apocalyptic number.

10061620 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 10061620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335464).

10061620 is an abundant number, since it is smaller than the sum of its proper divisors (12609308).

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

10061620 is a wasteful number, since it uses less digits than its factorization.

10061620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10061620 is about 3172.0056746481. The cubic root of 10061620 is about 215.8850840495.

Adding to 10061620 its reverse (2616001), we get a palindrome (12677621).

The spelling of 10061620 in words is "ten million, sixty-one thousand, six hundred twenty".