11641760 has 96 divisors (see below), whose sum is σ = 30799440. Its totient is φ = 4128768.

The previous prime is 11641757. The next prime is 11641783. The reversal of 11641760 is 6714611.

It can be written as a sum of positive squares in 8 ways, for example, as 1731856 + 9909904 = 1316^2 + 3148^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60224 + ... + 60416.

Almost surely, 2^11641760 is an apocalyptic number.

11641760 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 11641760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399720).

11641760 is an abundant number, since it is smaller than the sum of its proper divisors (19157680).

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

11641760 is a wasteful number, since it uses less digits than its factorization.

11641760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 11641760 is about 3412.0023446651. The cubic root of 11641760 is about 226.6415581569.

The spelling of 11641760 in words is "eleven million, six hundred forty-one thousand, seven hundred sixty".