816148320 has 144 divisors (see below), whose sum is σ = 2784115152. Its totient is φ = 200878080.

The previous prime is 816148313. The next prime is 816148321. The reversal of 816148320 is 23841618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816148321) 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, 76090 + ... + 86150.

It is an arithmetic number, because the mean of its divisors is an integer number (19334133).

Almost surely, 2^816148320 is an apocalyptic number.

816148320 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 816148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392057576).

816148320 is an abundant number, since it is smaller than the sum of its proper divisors (1967966832).

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

816148320 is a wasteful number, since it uses less digits than its factorization.

816148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 816148320 is about 28568.3097154872. The cubic root of 816148320 is about 934.5223598715.

Adding to 816148320 its reverse (23841618), we get a palindrome (839989938).

The spelling of 816148320 in words is "eight hundred sixteen million, one hundred forty-eight thousand, three hundred twenty".