10362816 has 70 divisors (see below), whose sum is σ = 30734000. Its totient is φ = 3452544.

The previous prime is 10362797. The next prime is 10362827. The reversal of 10362816 is 61826301.

10362816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10362816³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10362816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4185 + ... + 6183.

Almost surely, 2^10362816 is an apocalyptic number.

10362816 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 10362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367000).

10362816 is an abundant number, since it is smaller than the sum of its proper divisors (20371184).

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

10362816 is an equidigital number, since it uses as much as digits as its factorization.

10362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10362816 is about 3219.1328024796. The cubic root of 10362816 is about 218.0181226692.

The spelling of 10362816 in words is "ten million, three hundred sixty-two thousand, eight hundred sixteen".