11757648 has 60 divisors (see below), whose sum is σ = 35340000. Its totient is φ = 3358656.

The previous prime is 11757631. The next prime is 11757653. The reversal of 11757648 is 84675711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (589000).

Almost surely, 2^11757648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11757648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670000).

11757648 is an abundant number, since it is smaller than the sum of its proper divisors (23582352).

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

11757648 is a wasteful number, since it uses less digits than its factorization.

11757648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5011 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The square root of 11757648 is about 3428.9426941843. The cubic root of 11757648 is about 227.3911115991.

The spelling of 11757648 in words is "eleven million, seven hundred fifty-seven thousand, six hundred forty-eight".