11542560 has 96 divisors (see below), whose sum is σ = 36832320. Its totient is φ = 3038208.

The previous prime is 11542549. The next prime is 11542567. The reversal of 11542560 is 6524511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11542560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11542567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66634 + ... + 66806.

It is an arithmetic number, because the mean of its divisors is an integer number (383670).

Almost surely, 2^11542560 is an apocalyptic number.

11542560 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 11542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160).

11542560 is an abundant number, since it is smaller than the sum of its proper divisors (25289760).

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

11542560 is a wasteful number, since it uses less digits than its factorization.

11542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 11542560 is about 3397.4343260761. The cubic root of 11542560 is about 225.9959797755.

The spelling of 11542560 in words is "eleven million, five hundred forty-two thousand, five hundred sixty".