10387648 has 28 divisors (see below), whose sum is σ = 20830032. Its totient is φ = 5139200.

The previous prime is 10387627. The next prime is 10387649. The reversal of 10387648 is 84678301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10387649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5661 + ... + 7267.

Almost surely, 2^10387648 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 10387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415016).

10387648 is an abundant number, since it is smaller than the sum of its proper divisors (10442384).

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

10387648 is a wasteful number, since it uses less digits than its factorization.

10387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 10387648 is about 3222.9874340431. The cubic root of 10387648 is about 218.1921264490.

The spelling of 10387648 in words is "ten million, three hundred eighty-seven thousand, six hundred forty-eight".