653080806 has 160 divisors (see below), whose sum is σ = 1865064960. Its totient is φ = 166281984.

The previous prime is 653080763. The next prime is 653080817. The reversal of 653080806 is 608080356.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 365391 + ... + 367173.

It is an arithmetic number, because the mean of its divisors is an integer number (11656656).

Almost surely, 2^653080806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653080806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932532480).

653080806 is an abundant number, since it is smaller than the sum of its proper divisors (1211984154).

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

653080806 is a wasteful number, since it uses less digits than its factorization.

653080806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 653080806 is about 25555.4457210200. The cubic root of 653080806 is about 867.6055204162.

The spelling of 653080806 in words is "six hundred fifty-three million, eighty thousand, eight hundred six".