816115824 has 100 divisors (see below), whose sum is σ = 2419845120. Its totient is φ = 265386240.

The previous prime is 816115823. The next prime is 816115841. The reversal of 816115824 is 428511618.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816115823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45457 + ... + 60815.

Almost surely, 2^816115824 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 816115824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209922560).

816115824 is an abundant number, since it is smaller than the sum of its proper divisors (1603729296).

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

816115824 is a wasteful number, since it uses less digits than its factorization.

816115824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15420 (or 15405 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 816115824 is about 28567.7409677419. The cubic root of 816115824 is about 934.5099566351.

The spelling of 816115824 in words is "eight hundred sixteen million, one hundred fifteen thousand, eight hundred twenty-four".