8100816 has 40 divisors (see below), whose sum is σ = 21230784. Its totient is φ = 2661120.

The previous prime is 8100811. The next prime is 8100871. The reversal of 8100816 is 6180018.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100811) 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, 2220 + ... + 4596.

Almost surely, 2^8100816 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 8100816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615392).

8100816 is an abundant number, since it is smaller than the sum of its proper divisors (13129968).

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

8100816 is a wasteful number, since it uses less digits than its factorization.

8100816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 8100816 is about 2846.1932471285. The cubic root of 8100816 is about 200.8366287153.

The spelling of 8100816 in words is "eight million, one hundred thousand, eight hundred sixteen".