652712688 has 320 divisors, whose sum is σ = 2125578240. Its totient is φ = 190771200.

The previous prime is 652712677. The next prime is 652712689. The reversal of 652712688 is 886217256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652712689) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10700178 + ... + 10700238.

It is an arithmetic number, because the mean of its divisors is an integer number (6642432).

Almost surely, 2^652712688 is an apocalyptic number.

652712688 is a gapful number since it is divisible by the number (68) 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 652712688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062789120).

652712688 is an abundant number, since it is smaller than the sum of its proper divisors (1472865552).

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

652712688 is a wasteful number, since it uses less digits than its factorization.

652712688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

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

The square root of 652712688 is about 25548.2423661590. The cubic root of 652712688 is about 867.4424771742.

The spelling of 652712688 in words is "six hundred fifty-two million, seven hundred twelve thousand, six hundred eighty-eight".