11400648 has 64 divisors (see below), whose sum is σ = 33024000. Its totient is φ = 3212352.

The previous prime is 11400643. The next prime is 11400661. The reversal of 11400648 is 84600411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11400643) 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, 12843 + ... + 13701.

It is an arithmetic number, because the mean of its divisors is an integer number (516000).

Almost surely, 2^11400648 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 11400648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512000).

11400648 is an abundant number, since it is smaller than the sum of its proper divisors (21623352).

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

11400648 is a wasteful number, since it uses less digits than its factorization.

11400648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11400648 is about 3376.4845623814. The cubic root of 11400648 is about 225.0659757141.

The spelling of 11400648 in words is "eleven million, four hundred thousand, six hundred forty-eight".