11337648 has 80 divisors (see below), whose sum is σ = 34331136. Its totient is φ = 3156480.

The previous prime is 11337647. The next prime is 11337649. The reversal of 11337648 is 84673311.

It is an interprime number because it is at equal distance from previous prime (11337647) and next prime (11337649).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11337647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13365 + ... + 14187.

Almost surely, 2^11337648 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 11337648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17165568).

11337648 is an abundant number, since it is smaller than the sum of its proper divisors (22993488).

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

11337648 is a wasteful number, since it uses less digits than its factorization.

11337648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 11337648 is about 3367.1424086308. The cubic root of 11337648 is about 224.6506380665.

The spelling of 11337648 in words is "eleven million, three hundred thirty-seven thousand, six hundred forty-eight".