830861640 has 576 divisors, whose sum is σ = 3446539200. Its totient is φ = 172440576.

The previous prime is 830861627. The next prime is 830861699. The reversal of 830861640 is 46168038.

It is a happy number.

830861640 is a `hidden beast` number, since 8 + 3 + 0 + 8 + 6 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 830861595 and 830861604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12400887 + ... + 12400953.

It is an arithmetic number, because the mean of its divisors is an integer number (5983575).

Almost surely, 2^830861640 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 830861640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723269600).

830861640 is an abundant number, since it is smaller than the sum of its proper divisors (2615677560).

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

830861640 is a wasteful number, since it uses less digits than its factorization.

830861640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 830861640 is about 28824.6706832880. The cubic root of 830861640 is about 940.1047265241.

The spelling of 830861640 in words is "eight hundred thirty million, eight hundred sixty-one thousand, six hundred forty".