652317120 has 672 divisors, whose sum is σ = 2929006080. Its totient is φ = 129392640.

The previous prime is 652317119. The next prime is 652317173. The reversal of 652317120 is 21713256.

It is a happy number.

652317120 is a `hidden beast` number, since 6 + 523 + 17 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979455 + ... + 4979585.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2^652317120 is an apocalyptic number.

652317120 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 652317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464503040).

652317120 is an abundant number, since it is smaller than the sum of its proper divisors (2276688960).

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

652317120 is a wasteful number, since it uses less digits than its factorization.

652317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 652317120 is about 25540.4996035708. The cubic root of 652317120 is about 867.2672077014.

The spelling of 652317120 in words is "six hundred fifty-two million, three hundred seventeen thousand, one hundred twenty".