653887080 has 320 divisors, whose sum is σ = 2741143680. Its totient is φ = 135820800.

The previous prime is 653887063. The next prime is 653887093. The reversal of 653887080 is 80788356.

653887080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248170 + ... + 250790.

It is an arithmetic number, because the mean of its divisors is an integer number (8566074).

Almost surely, 2^653887080 is an apocalyptic number.

653887080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653887080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370571840).

653887080 is an abundant number, since it is smaller than the sum of its proper divisors (2087256600).

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

653887080 is a wasteful number, since it uses less digits than its factorization.

653887080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 653887080 is about 25571.2158490753. The cubic root of 653887080 is about 867.9624135154.

The spelling of 653887080 in words is "six hundred fifty-three million, eight hundred eighty-seven thousand, eighty".