652992000 has 320 divisors, whose sum is σ = 2298067200. Its totient is φ = 164044800.

The previous prime is 652991993. The next prime is 652992013. The reversal of 652992000 is 299256.

652992000 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 (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647911 + ... + 3648089.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^652992000 is an apocalyptic number.

652992000 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 652992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149033600).

652992000 is an abundant number, since it is smaller than the sum of its proper divisors (1645075200).

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

652992000 is a wasteful number, since it uses less digits than its factorization.

652992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 652992000 is about 25553.7081457858. The cubic root of 652992000 is about 867.5661929355.

The spelling of 652992000 in words is "six hundred fifty-two million, nine hundred ninety-two thousand".