11751648 has 48 divisors (see below), whose sum is σ = 31078656. Its totient is φ = 3888000.

The previous prime is 11751631. The next prime is 11751667. The reversal of 11751648 is 84615711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15273 + ... + 16023.

It is an arithmetic number, because the mean of its divisors is an integer number (647472).

Almost surely, 2^11751648 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 11751648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539328).

11751648 is an abundant number, since it is smaller than the sum of its proper divisors (19327008).

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

11751648 is a wasteful number, since it uses less digits than its factorization.

11751648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 11751648 is about 3428.0676772783. The cubic root of 11751648 is about 227.3524253241.

The spelling of 11751648 in words is "eleven million, seven hundred fifty-one thousand, six hundred forty-eight".