1820000520 has 192 divisors, whose sum is σ = 6413163120. Its totient is φ = 444966912.

The previous prime is 1820000503. The next prime is 1820000527. The reversal of 1820000520 is 250000281.

It can be written as a sum of positive squares in 8 ways, for example, as 293848164 + 1526152356 = 17142^2 + 39066^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1820000493 and 1820000502.

It is not an unprimeable number, because it can be changed into a prime (1820000527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733522 + ... + 735998.

Almost surely, 2^1820000520 is an apocalyptic number.

1820000520 is a gapful number since it is divisible by the number (10) 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 1820000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206581560).

1820000520 is an abundant number, since it is smaller than the sum of its proper divisors (4593162600).

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

1820000520 is a wasteful number, since it uses less digits than its factorization.

1820000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1820000520 is about 42661.4641098967. The cubic root of 1820000520 is about 1220.9292660257.

The spelling of 1820000520 in words is "one billion, eight hundred twenty million, five hundred twenty", and thus it is an aban number.