653248064 has 56 divisors (see below), whose sum is σ = 1485156288. Its totient is φ = 279267840.

The previous prime is 653248049. The next prime is 653248109. The reversal of 653248064 is 460842356.

653248064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204947 + ... + 208109.

It is an arithmetic number, because the mean of its divisors is an integer number (26520648).

Almost surely, 2^653248064 is an apocalyptic number.

653248064 is a gapful number since it is divisible by the number (64) 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 653248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742578144).

653248064 is an abundant number, since it is smaller than the sum of its proper divisors (831908224).

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

653248064 is a wasteful number, since it uses less digits than its factorization.

653248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 653248064 is about 25558.7179647180. The cubic root of 653248064 is about 867.6795804592.

The spelling of 653248064 in words is "six hundred fifty-three million, two hundred forty-eight thousand, sixty-four".