816248616 has 64 divisors (see below), whose sum is σ = 2115979200. Its totient is φ = 262080000.

The previous prime is 816248597. The next prime is 816248617. The reversal of 816248616 is 616842618.

816248616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (816248617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361491 + ... + 363741.

It is an arithmetic number, because the mean of its divisors is an integer number (33062175).

Almost surely, 2^816248616 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 816248616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057989600).

816248616 is an abundant number, since it is smaller than the sum of its proper divisors (1299730584).

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

816248616 is a wasteful number, since it uses less digits than its factorization.

816248616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2806 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 816248616 is about 28570.0650331776. The cubic root of 816248616 is about 934.5606392762.

The spelling of 816248616 in words is "eight hundred sixteen million, two hundred forty-eight thousand, six hundred sixteen".