651628560 has 240 divisors, whose sum is σ = 2339225280. Its totient is φ = 149529600.

The previous prime is 651628553. The next prime is 651628561. The reversal of 651628560 is 65826156.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (651628561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551170 + ... + 552350.

It is an arithmetic number, because the mean of its divisors is an integer number (9746772).

Almost surely, 2^651628560 is an apocalyptic number.

651628560 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 651628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169612640).

651628560 is an abundant number, since it is smaller than the sum of its proper divisors (1687596720).

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

651628560 is a wasteful number, since it uses less digits than its factorization.

651628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 651628560 is about 25527.0162768781. The cubic root of 651628560 is about 866.9619493497.

The spelling of 651628560 in words is "six hundred fifty-one million, six hundred twenty-eight thousand, five hundred sixty".