11648640 has 64 divisors (see below), whose sum is σ = 37136160. Its totient is φ = 3105792.

The previous prime is 11648597. The next prime is 11648641. The reversal of 11648640 is 4684611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11648598 and 11648607.

It is not an unprimeable number, because it can be changed into a prime (11648641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114 + ... + 4953.

Almost surely, 2^11648640 is an apocalyptic number.

11648640 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 11648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568080).

11648640 is an abundant number, since it is smaller than the sum of its proper divisors (25487520).

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

11648640 is an equidigital number, since it uses as much as digits as its factorization.

11648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 11648640 is about 3413.0104013905. The cubic root of 11648640 is about 226.6861959336.

The spelling of 11648640 in words is "eleven million, six hundred forty-eight thousand, six hundred forty".