816180 has 48 divisors (see below), whose sum is σ = 2333184. Its totient is φ = 213120.

The previous prime is 816169. The next prime is 816191. The reversal of 816180 is 81618.

It is an interprime number because it is at equal distance from previous prime (816169) and next prime (816191).

It is a super-2 number, since 2×816180² = 1332299584800, 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 self number, because there is not a number n which added to its sum of digits gives 816180.

It is a congruent number.

It is an unprimeable number.

816180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3549 + ... + 3771.

It is an arithmetic number, because the mean of its divisors is an integer number (48608).

2⁸¹⁶¹⁸⁰ 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 816180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166592).

816180 is an abundant number, since it is smaller than the sum of its proper divisors (1517004).

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

816180 is a wasteful number, since it uses less digits than its factorization.

816180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

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

The square root of 816180 is about 903.4268094317. The cubic root of 816180 is about 93.4534451336.

Adding to 816180 its reverse (81618), we get a palindrome (897798).

The spelling of 816180 in words is "eight hundred sixteen thousand, one hundred eighty".