11842560 has 132 divisors (see below), whose sum is σ = 41193828. Its totient is φ = 3145728.

The previous prime is 11842559. The next prime is 11842561. The reversal of 11842560 is 6524811.

It is an interprime number because it is at equal distance from previous prime (11842559) and next prime (11842561).

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 2985984 = 2976^2 + 1728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11842561) 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, 45952 + ... + 46208.

Almost surely, 2^11842560 is an apocalyptic number.

11842560 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 11842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596914).

11842560 is an abundant number, since it is smaller than the sum of its proper divisors (29351268).

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

11842560 is a wasteful number, since it uses less digits than its factorization.

11842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11842560 is about 3441.3020791555. The cubic root of 11842560 is about 227.9371941505.

The spelling of 11842560 in words is "eleven million, eight hundred forty-two thousand, five hundred sixty".