8161800 has 96 divisors (see below), whose sum is σ = 25831680. Its totient is φ = 2131200.

The previous prime is 8161763. The next prime is 8161807. The reversal of 8161800 is 81618.

It is a super-2 number, since 2×8161800² = 133229958480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8161807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36489 + ... + 36711.

It is an arithmetic number, because the mean of its divisors is an integer number (269080).

Almost surely, 2^8161800 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 8161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915840).

8161800 is an abundant number, since it is smaller than the sum of its proper divisors (17669880).

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

8161800 is a wasteful number, since it uses less digits than its factorization.

8161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

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

The square root of 8161800 is about 2856.8864170632. The cubic root of 8161800 is about 201.3393440988.

Multiplying 8161800 by its reverse (81618), we get a square (666149792400 = 816180²).

8161800 divided by its reverse (81618) gives a square (100 = 10²).

The spelling of 8161800 in words is "eight million, one hundred sixty-one thousand, eight hundred".