817831872 has 168 divisors, whose sum is σ = 2754264240. Its totient is φ = 228741120.

The previous prime is 817831841. The next prime is 817831873. The reversal of 817831872 is 278138718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817831873) 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, 77404 + ... + 87332.

It is an arithmetic number, because the mean of its divisors is an integer number (16394430).

Almost surely, 2^817831872 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 817831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377132120).

817831872 is an abundant number, since it is smaller than the sum of its proper divisors (1936432368).

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

817831872 is a wasteful number, since it uses less digits than its factorization.

817831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9958 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The square root of 817831872 is about 28597.7599122728. The cubic root of 817831872 is about 935.1644965902.

The spelling of 817831872 in words is "eight hundred seventeen million, eight hundred thirty-one thousand, eight hundred seventy-two".