11648560 has 160 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 3456000.

The previous prime is 11648531. The next prime is 11648561. The reversal of 11648560 is 6584611.

11648560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11648561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190930 + ... + 190990.

Almost surely, 2^11648560 is an apocalyptic number.

11648560 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 11648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).

11648560 is an abundant number, since it is smaller than the sum of its proper divisors (23777744).

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

11648560 is a wasteful number, since it uses less digits than its factorization.

11648560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 11648560 is about 3412.9986815116. The cubic root of 11648560 is about 226.6856769907.

The spelling of 11648560 in words is "eleven million, six hundred forty-eight thousand, five hundred sixty".