10561408 has 64 divisors (see below), whose sum is σ = 24761520. Its totient is φ = 4423680.

The previous prime is 10561387. The next prime is 10561409. The reversal of 10561408 is 80416501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10561408² = 223086677884928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10561409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18016 + ... + 18592.

Almost surely, 2^10561408 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 10561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380760).

10561408 is an abundant number, since it is smaller than the sum of its proper divisors (14200112).

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

10561408 is a wasteful number, since it uses less digits than its factorization.

10561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10561408 is about 3249.8319956576. The cubic root of 10561408 is about 219.4020124312.

Adding to 10561408 its reverse (80416501), we get a palindrome (90977909).

The spelling of 10561408 in words is "ten million, five hundred sixty-one thousand, four hundred eight".