816824040 has 64 divisors (see below), whose sum is σ = 2464076160. Its totient is φ = 216610560.

The previous prime is 816824023. The next prime is 816824059. The reversal of 816824040 is 40428618.

It is a junction number, because it is equal to n+sod(n) for n = 816823992 and 816824010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917 + ... + 40523.

It is an arithmetic number, because the mean of its divisors is an integer number (38501190).

Almost surely, 2^816824040 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 816824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232038080).

816824040 is an abundant number, since it is smaller than the sum of its proper divisors (1647252120).

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

816824040 is a wasteful number, since it uses less digits than its factorization.

816824040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37802 (or 37798 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 816824040 is about 28580.1336595895. The cubic root of 816824040 is about 934.7801975053.

The spelling of 816824040 in words is "eight hundred sixteen million, eight hundred twenty-four thousand, forty".