10132560 has 80 divisors (see below), whose sum is σ = 34908480. Its totient is φ = 2701440.

The previous prime is 10132547. The next prime is 10132607. The reversal of 10132560 is 6523101.

10132560 is a `hidden beast` number, since 101 + 3 + 2 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 186 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (436356).

Almost surely, 2^10132560 is an apocalyptic number.

10132560 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 10132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454240).

10132560 is an abundant number, since it is smaller than the sum of its proper divisors (24775920).

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

10132560 is a wasteful number, since it uses less digits than its factorization.

10132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10132560 is about 3183.1682330659. The cubic root of 10132560 is about 216.3912661345.

Adding to 10132560 its reverse (6523101), we get a palindrome (16655661).

The spelling of 10132560 in words is "ten million, one hundred thirty-two thousand, five hundred sixty".