8181810 has 192 divisors, whose sum is σ = 27885312. Its totient is φ = 1679616.

The previous prime is 8181809. The next prime is 8181821. The reversal of 8181810 is 181818.

8181810 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8181810² = 133884029752200, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

8181810 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221112 + ... + 221148.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 2^8181810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8181810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

8181810 is an abundant number, since it is smaller than the sum of its proper divisors (19703502).

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

8181810 is a wasteful number, since it uses less digits than its factorization.

8181810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 8181810 is about 2860.3863375425. The cubic root of 8181810 is about 201.5037486962.

8181810 divided by its reverse (181818) gives a triangular number (45 = T₉).

It can be divided in two parts, 818 and 1810, that added together give a triangular number (2628 = T₇₂).

The spelling of 8181810 in words is "eight million, one hundred eighty-one thousand, eight hundred ten".