11560640 has 112 divisors (see below), whose sum is σ = 33966912. Its totient is φ = 3649536.

The previous prime is 11560639. The next prime is 11560643. The reversal of 11560640 is 4606511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11560643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28922 + ... + 29318.

It is an arithmetic number, because the mean of its divisors is an integer number (303276).

Almost surely, 2^11560640 is an apocalyptic number.

11560640 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 11560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983456).

11560640 is an abundant number, since it is smaller than the sum of its proper divisors (22406272).

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

11560640 is a wasteful number, since it uses less digits than its factorization.

11560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 11560640 is about 3400.0941163444. The cubic root of 11560640 is about 226.1139165174.

It can be divided in two parts, 11560 and 640, that multiplied together give a square (7398400 = 2720²).

The spelling of 11560640 in words is "eleven million, five hundred sixty thousand, six hundred forty".