11649760 has 48 divisors (see below), whose sum is σ = 29148336. Its totient is φ = 4384768.

The previous prime is 11649731. The next prime is 11649763. The reversal of 11649760 is 6794611.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11649763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579 + ... + 4861.

It is an arithmetic number, because the mean of its divisors is an integer number (607257).

Almost surely, 2^11649760 is an apocalyptic number.

11649760 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 11649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574168).

11649760 is an abundant number, since it is smaller than the sum of its proper divisors (17498576).

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

11649760 is a wasteful number, since it uses less digits than its factorization.

11649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 11649760 is about 3413.1744754700. The cubic root of 11649760 is about 226.6934608848.

The spelling of 11649760 in words is "eleven million, six hundred forty-nine thousand, seven hundred sixty".