10560400 has 60 divisors (see below), whose sum is σ = 26881092. Its totient is φ = 3973120.

The previous prime is 10560377. The next prime is 10560401. The reversal of 10560400 is 406501.

It can be written as a sum of positive squares in 6 ways, for example, as 524176 + 10036224 = 724^2 + 3168^2 .

It is a super-2 number, since 2×10560400² = 223044096320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10560401) 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, 6024 + ... + 7576.

Almost surely, 2^10560400 is an apocalyptic number.

10560400 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 10560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440546).

10560400 is an abundant number, since it is smaller than the sum of its proper divisors (16320692).

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

10560400 is a wasteful number, since it uses less digits than its factorization.

10560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10560400 is about 3249.6769070171. The cubic root of 10560400 is about 219.3950321666.

Adding to 10560400 its reverse (406501), we get a palindrome (10966901).

The spelling of 10560400 in words is "ten million, five hundred sixty thousand, four hundred".