653952000 has 352 divisors, whose sum is σ = 2360502144. Its totient is φ = 159744000.

The previous prime is 653951999. The next prime is 653952017. The reversal of 653952000 is 259356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4991935 + ... + 4992065.

It is an arithmetic number, because the mean of its divisors is an integer number (6705972).

Almost surely, 2^653952000 is an apocalyptic number.

653952000 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 653952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180251072).

653952000 is an abundant number, since it is smaller than the sum of its proper divisors (1706550144).

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

653952000 is a wasteful number, since it uses less digits than its factorization.

653952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 653952000 is about 25572.4852136041. The cubic root of 653952000 is about 867.9911372593.

The spelling of 653952000 in words is "six hundred fifty-three million, nine hundred fifty-two thousand".