8212067600 has 240 divisors, whose sum is σ = 23035954176. Its totient is φ = 2780160000.

The previous prime is 8212067587. The next prime is 8212067603. The reversal of 8212067600 is 67602128.

It is not an unprimeable number, because it can be changed into a prime (8212067603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7554257 + ... + 7555343.

Almost surely, 2^8212067600 is an apocalyptic number.

8212067600 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 8212067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517977088).

8212067600 is an abundant number, since it is smaller than the sum of its proper divisors (14823886576).

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

8212067600 is a wasteful number, since it uses less digits than its factorization.

8212067600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 8212067600 is about 90620.4590586475. The cubic root of 8212067600 is about 2017.5184047228.

Adding to 8212067600 its reverse (67602128), we get a palindrome (8279669728).

The spelling of 8212067600 in words is "eight billion, two hundred twelve million, sixty-seven thousand, six hundred".