830605248 has 168 divisors, whose sum is σ = 2611617840. Its totient is φ = 250306560.

The previous prime is 830605229. The next prime is 830605253. The reversal of 830605248 is 842506038.

830605248 is a `hidden beast` number, since 8 + 3 + 0 + 605 + 2 + 48 = 666.

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

It is a congruent number.

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, 2135038 + ... + 2135426.

Almost surely, 2^830605248 is an apocalyptic number.

830605248 is a gapful number since it is divisible by the number (88) 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 830605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305808920).

830605248 is an abundant number, since it is smaller than the sum of its proper divisors (1781012592).

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

830605248 is a wasteful number, since it uses less digits than its factorization.

830605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 742 counting only the distinct ones).

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

The square root of 830605248 is about 28820.2228999014. Note that the first 3 decimals coincide. The cubic root of 830605248 is about 940.0080156250.

The spelling of 830605248 in words is "eight hundred thirty million, six hundred five thousand, two hundred forty-eight".