10306816 has 72 divisors (see below), whose sum is σ = 23465120. Its totient is φ = 4478976.

The previous prime is 10306801. The next prime is 10306817. The reversal of 10306816 is 61860301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10306817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63151 + ... + 63313.

Almost surely, 2^10306816 is an apocalyptic number.

10306816 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 10306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732560).

10306816 is an abundant number, since it is smaller than the sum of its proper divisors (13158304).

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

10306816 is a wasteful number, since it uses less digits than its factorization.

10306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10306816 is about 3210.4230250856. The cubic root of 10306816 is about 217.6246944293.

The spelling of 10306816 in words is "ten million, three hundred six thousand, eight hundred sixteen".