816612000 has 192 divisors, whose sum is σ = 2833294464. Its totient is φ = 204902400.

The previous prime is 816611993. The next prime is 816612029. The reversal of 816612000 is 216618.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201999 + ... + 206001.

It is an arithmetic number, because the mean of its divisors is an integer number (14756742).

Almost surely, 2^816612000 is an apocalyptic number.

816612000 is a gapful number since it is divisible by the number (80) 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 816612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416647232).

816612000 is an abundant number, since it is smaller than the sum of its proper divisors (2016682464).

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

816612000 is a wasteful number, since it uses less digits than its factorization.

816612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 816612000 is about 28576.4238490403. The cubic root of 816612000 is about 934.6993037277.

Adding to 816612000 its reverse (216618), we get a palindrome (816828618).

The spelling of 816612000 in words is "eight hundred sixteen million, six hundred twelve thousand".