10061824 has 48 divisors (see below), whose sum is σ = 21375900. Its totient is φ = 4734976.

The previous prime is 10061819. The next prime is 10061839. The reversal of 10061824 is 42816001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 25600 = 3168^2 + 160^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10061795 and 10061804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 591864 + ... + 591880.

Almost surely, 2^10061824 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 10061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687950).

10061824 is an abundant number, since it is smaller than the sum of its proper divisors (11314076).

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

10061824 is an frugal number, since it uses more digits than its factorization.

10061824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10061824 is about 3172.0378307958. The cubic root of 10061824 is about 215.8865430677.

Adding to 10061824 its reverse (42816001), we get a palindrome (52877825).

The spelling of 10061824 in words is "ten million, sixty-one thousand, eight hundred twenty-four".