10386816 has 64 divisors (see below), whose sum is σ = 30110400. Its totient is φ = 3146240.

The previous prime is 10386799. The next prime is 10386821. The reversal of 10386816 is 61868301.

10386816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2995 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (470475).

Almost surely, 2^10386816 is an apocalyptic number.

10386816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055200).

10386816 is an abundant number, since it is smaller than the sum of its proper divisors (19723584).

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

10386816 is a wasteful number, since it uses less digits than its factorization.

10386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10386816 is about 3222.8583586624. The cubic root of 10386816 is about 218.1863009180.

The spelling of 10386816 in words is "ten million, three hundred eighty-six thousand, eight hundred sixteen".