1820563272 has 48 divisors (see below), whose sum is σ = 5378939280. Its totient is φ = 551685600.

The previous prime is 1820563243. The next prime is 1820563273. The reversal of 1820563272 is 2723650281.

1820563272 is a `hidden beast` number, since 1 + 8 + 20 + 563 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1820563273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1148554 + ... + 1150137.

It is an arithmetic number, because the mean of its divisors is an integer number (112061235).

Almost surely, 2^1820563272 is an apocalyptic number.

1820563272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1820563272 is an abundant number, since it is smaller than the sum of its proper divisors (3558376008).

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

1820563272 is a wasteful number, since it uses less digits than its factorization.

1820563272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298714 (or 2298707 counting only the distinct ones).

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

The square root of 1820563272 is about 42668.0591543604. The cubic root of 1820563272 is about 1221.0550919206.

The spelling of 1820563272 in words is "one billion, eight hundred twenty million, five hundred sixty-three thousand, two hundred seventy-two".