1820807424 has 180 divisors, whose sum is σ = 5466107724. Its totient is φ = 602836992.

The previous prime is 1820807419. The next prime is 1820807431. The reversal of 1820807424 is 4247080281.

It can be written as a sum of positive squares in 2 ways, for example, as 195105024 + 1625702400 = 13968^2 + 40320^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 5743714 + ... + 5744030.

Almost surely, 2^1820807424 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 1820807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733053862).

1820807424 is an abundant number, since it is smaller than the sum of its proper divisors (3645300300).

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

1820807424 is an equidigital number, since it uses as much as digits as its factorization.

1820807424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1820807424 is about 42670.9201213192. The cubic root of 1820807424 is about 1221.1096738773.

The spelling of 1820807424 in words is "one billion, eight hundred twenty million, eight hundred seven thousand, four hundred twenty-four".