652912000 has 256 divisors, whose sum is σ = 1813331520. Its totient is φ = 232243200.

The previous prime is 652911949. The next prime is 652912009. The reversal of 652912000 is 219256.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652912009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8943964 + ... + 8944036.

Almost surely, 2^652912000 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 652912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906665760).

652912000 is an abundant number, since it is smaller than the sum of its proper divisors (1160419520).

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

652912000 is a wasteful number, since it uses less digits than its factorization.

652912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 652912000 is about 25552.1427672906. The cubic root of 652912000 is about 867.5307621134.

The spelling of 652912000 in words is "six hundred fifty-two million, nine hundred twelve thousand".