824675130 has 96 divisors (see below), whose sum is σ = 2183163840. Its totient is φ = 215953920.

The previous prime is 824675123. The next prime is 824675141. The reversal of 824675130 is 31576428.

824675130 is a `hidden beast` number, since 82 + 4 + 67 + 513 + 0 = 666.

824675130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331961 + ... + 1332579.

It is an arithmetic number, because the mean of its divisors is an integer number (22741290).

Almost surely, 2^824675130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824675130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091581920).

824675130 is an abundant number, since it is smaller than the sum of its proper divisors (1358488710).

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

824675130 is a wasteful number, since it uses less digits than its factorization.

824675130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 824675130 is about 28717.1574150367. The cubic root of 824675130 is about 937.7656036779.

The spelling of 824675130 in words is "eight hundred twenty-four million, six hundred seventy-five thousand, one hundred thirty".