11756640 has 96 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 2686464.

The previous prime is 11756621. The next prime is 11756651. The reversal of 11756640 is 4665711.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 11756598 and 11756607.

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, 1611 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 2^11756640 is an apocalyptic number.

11756640 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 11756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

11756640 is an abundant number, since it is smaller than the sum of its proper divisors (30579360).

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

11756640 is a wasteful number, since it uses less digits than its factorization.

11756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 11756640 is about 3428.7957069502. The cubic root of 11756640 is about 227.3846132249.

The spelling of 11756640 in words is "eleven million, seven hundred fifty-six thousand, six hundred forty".