816336144 has 240 divisors, whose sum is σ = 2638831104. Its totient is φ = 242611200.

The previous prime is 816336139. The next prime is 816336161. The reversal of 816336144 is 441633618.

It is a happy number.

816336144 is a `hidden beast` number, since 8 + 1 + 6 + 33 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 816336099 and 816336108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566604 + ... + 1567124.

Almost surely, 2^816336144 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 816336144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319415552).

816336144 is an abundant number, since it is smaller than the sum of its proper divisors (1822494960).

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

816336144 is a wasteful number, since it uses less digits than its factorization.

816336144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 816336144 is about 28571.5968052190. The cubic root of 816336144 is about 934.5940430286.

It can be divided in two parts, 81633614 and 4, that added together give a palindrome (81633618).

The spelling of 816336144 in words is "eight hundred sixteen million, three hundred thirty-six thousand, one hundred forty-four".