653920008 has 64 divisors (see below), whose sum is σ = 1872720000. Its totient is φ = 186396672.

The previous prime is 653919991. The next prime is 653920021. The reversal of 653920008 is 800029356.

It is a happy number.

It is a super-2 number, since 2×653920008² = 855222753725440128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71098 + ... + 79766.

It is an arithmetic number, because the mean of its divisors is an integer number (29261250).

Almost surely, 2^653920008 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 653920008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936360000).

653920008 is an abundant number, since it is smaller than the sum of its proper divisors (1218799992).

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

653920008 is a wasteful number, since it uses less digits than its factorization.

653920008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 653920008 is about 25571.8596899013. The cubic root of 653920008 is about 867.9769826908.

The spelling of 653920008 in words is "six hundred fifty-three million, nine hundred twenty thousand, eight".