8209553040 has 160 divisors (see below), whose sum is σ = 30452634240. Its totient is φ = 2020806144.

The previous prime is 8209553029. The next prime is 8209553119. The reversal of 8209553040 is 403559028.

8209553040 is a `hidden beast` number, since 82 + 0 + 9 + 5 + 530 + 40 = 666.

It is a super-2 number, since 2×8209553040² (a number of 21 digits) contains 22 as substring.

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 = 8209552986 and 8209553004.

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 31 ways as a sum of consecutive naturals, for example, 118102 + ... + 174261.

It is an arithmetic number, because the mean of its divisors is an integer number (190328964).

Almost surely, 2^8209553040 is an apocalyptic number.

8209553040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8209553040 is an abundant number, since it is smaller than the sum of its proper divisors (22243081200).

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

8209553040 is a wasteful number, since it uses less digits than its factorization.

8209553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292398 (or 292386 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 8209553040 is about 90606.5838667367. The cubic root of 8209553040 is about 2017.3124602834.

The spelling of 8209553040 in words is "eight billion, two hundred nine million, five hundred fifty-three thousand, forty".