652516992 has 128 divisors (see below), whose sum is σ = 2009808000. Its totient is φ = 208023552.

The previous prime is 652516979. The next prime is 652517003. The reversal of 652516992 is 299615256.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75384 + ... + 83592.

It is an arithmetic number, because the mean of its divisors is an integer number (15701625).

Almost surely, 2^652516992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004904000).

652516992 is an abundant number, since it is smaller than the sum of its proper divisors (1357291008).

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

652516992 is a wasteful number, since it uses less digits than its factorization.

652516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8237 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 652516992 is about 25544.4121482566. The cubic root of 652516992 is about 867.3557764485.

The spelling of 652516992 in words is "six hundred fifty-two million, five hundred sixteen thousand, nine hundred ninety-two".