530162820 has 288 divisors, whose sum is σ = 1866848256. Its totient is φ = 125193600.

The previous prime is 530162797. The next prime is 530162821. The reversal of 530162820 is 28261035.

530162820 is a `hidden beast` number, since 5 + 30 + 1 + 628 + 2 + 0 = 666.

It is a super-3 number, since 3×530162820³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (530162821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2512515 + ... + 2512725.

It is an arithmetic number, because the mean of its divisors is an integer number (6482112).

Almost surely, 2^530162820 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 530162820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933424128).

530162820 is an abundant number, since it is smaller than the sum of its proper divisors (1336685436).

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

530162820 is a wasteful number, since it uses less digits than its factorization.

530162820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 530162820 is about 23025.2648193240. The cubic root of 530162820 is about 809.3500959725.

It can be divided in two parts, 5301 and 62820, that added together give a square (68121 = 261²).

The spelling of 530162820 in words is "five hundred thirty million, one hundred sixty-two thousand, eight hundred twenty".