10540560 has 80 divisors (see below), whose sum is σ = 33587136. Its totient is φ = 2732544.

The previous prime is 10540553. The next prime is 10540571. The reversal of 10540560 is 6504501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10540560² = 222206810227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8287 + ... + 9473.

Almost surely, 2^10540560 is an apocalyptic number.

10540560 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 10540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568).

10540560 is an abundant number, since it is smaller than the sum of its proper divisors (23046576).

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

10540560 is a wasteful number, since it uses less digits than its factorization.

10540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10540560 is about 3246.6228607585. The cubic root of 10540560 is about 219.2575523307.

The spelling of 10540560 in words is "ten million, five hundred forty thousand, five hundred sixty".