10386048 has 128 divisors (see below), whose sum is σ = 30697920. Its totient is φ = 3096576.

The previous prime is 10386029. The next prime is 10386067. The reversal of 10386048 is 84068301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10386029) and next prime (10386067).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241515 + ... + 241557.

Almost surely, 2^10386048 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 10386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348960).

10386048 is an abundant number, since it is smaller than the sum of its proper divisors (20311872).

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

10386048 is a wasteful number, since it uses less digits than its factorization.

10386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10386048 is about 3222.7392075686. The cubic root of 10386048 is about 218.1809232287.

The spelling of 10386048 in words is "ten million, three hundred eighty-six thousand, forty-eight".