831461664 has 144 divisors (see below), whose sum is σ = 2477502720. Its totient is φ = 243724800.

The previous prime is 831461627. The next prime is 831461677. The reversal of 831461664 is 466164138.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358942 + ... + 361250.

It is an arithmetic number, because the mean of its divisors is an integer number (17204880).

Almost surely, 2^831461664 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 831461664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238751360).

831461664 is an abundant number, since it is smaller than the sum of its proper divisors (1646041056).

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

831461664 is a wasteful number, since it uses less digits than its factorization.

831461664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2356 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 831461664 is about 28835.0769723266. The cubic root of 831461664 is about 940.3309774573.

The spelling of 831461664 in words is "eight hundred thirty-one million, four hundred sixty-one thousand, six hundred sixty-four".