830582640 has 160 divisors (see below), whose sum is σ = 2870173440. Its totient is φ = 220771584.

The previous prime is 830582581. The next prime is 830582653. The reversal of 830582640 is 46285038.

830582640 is a `hidden beast` number, since 8 + 3 + 0 + 5 + 8 + 2 + 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 = 830582595 and 830582604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215739 + ... + 1216421.

It is an arithmetic number, because the mean of its divisors is an integer number (17938584).

Almost surely, 2^830582640 is an apocalyptic number.

830582640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435086720).

830582640 is an abundant number, since it is smaller than the sum of its proper divisors (2039590800).

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

830582640 is a wasteful number, since it uses less digits than its factorization.

830582640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 830582640 is about 28819.8306726462. The cubic root of 830582640 is about 939.9994869471. Note that the first 3 decimals are identical.

The spelling of 830582640 in words is "eight hundred thirty million, five hundred eighty-two thousand, six hundred forty".