830551248 has 90 divisors (see below), whose sum is σ = 2352431094. Its totient is φ = 273549312.

The previous prime is 830551231. The next prime is 830551259. The reversal of 830551248 is 842155038.

It is a happy number.

830551248 is a `hidden beast` number, since 83 + 0 + 551 + 24 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 830131344 = 648^2 + 28812^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1354590 + ... + 1355202.

Almost surely, 2^830551248 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 830551248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215547).

830551248 is an abundant number, since it is smaller than the sum of its proper divisors (1521879846).

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

830551248 is a wasteful number, since it uses less digits than its factorization.

830551248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 830551248 is about 28819.2860425098. The cubic root of 830551248 is about 939.9876443223.

The spelling of 830551248 in words is "eight hundred thirty million, five hundred fifty-one thousand, two hundred forty-eight".