653246880 has 384 divisors, whose sum is σ = 2503581696. Its totient is φ = 141004800.

The previous prime is 653246873. The next prime is 653246921. The reversal of 653246880 is 88642356.

653246880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2127687 + ... + 2127993.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2^653246880 is an apocalyptic number.

653246880 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 653246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251790848).

653246880 is an abundant number, since it is smaller than the sum of its proper divisors (1850334816).

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

653246880 is a wasteful number, since it uses less digits than its factorization.

653246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 653246880 is about 25558.6948023564. The cubic root of 653246880 is about 867.6790562412.

The spelling of 653246880 in words is "six hundred fifty-three million, two hundred forty-six thousand, eight hundred eighty".