8201790540 has 48 divisors (see below), whose sum is σ = 25516683360. Its totient is φ = 2187144000.

The previous prime is 8201790529. The next prime is 8201790551. The reversal of 8201790540 is 450971028.

8201790540 is a `hidden beast` number, since 8 + 20 + 1 + 7 + 90 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (8201790529) and next prime (8201790551).

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

It is a junction number, because it is equal to n+sod(n) for n = 8201790495 and 8201790504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7593711 + ... + 7594790.

It is an arithmetic number, because the mean of its divisors is an integer number (531597570).

Almost surely, 2^8201790540 is an apocalyptic number.

It is an amenable number.

8201790540 is an abundant number, since it is smaller than the sum of its proper divisors (17314892820).

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

8201790540 is a wasteful number, since it uses less digits than its factorization.

8201790540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15188519 (or 15188511 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8201790540 is about 90563.7374449619. The cubic root of 8201790540 is about 2016.6764400258.

The spelling of 8201790540 in words is "eight billion, two hundred one million, seven hundred ninety thousand, five hundred forty".