952896000 has 320 divisors, whose sum is σ = 3625839360. Its totient is φ = 217497600.

The previous prime is 952895987. The next prime is 952896023. The reversal of 952896000 is 698259.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 952896000.

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, 1343646 + ... + 1344354.

It is an arithmetic number, because the mean of its divisors is an integer number (11330748).

Almost surely, 2^952896000 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 952896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812919680).

952896000 is an abundant number, since it is smaller than the sum of its proper divisors (2672943360).

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

952896000 is an equidigital number, since it uses as much as digits as its factorization.

952896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 952896000 is about 30869.0135896825. The cubic root of 952896000 is about 984.0454734752.

The spelling of 952896000 in words is "nine hundred fifty-two million, eight hundred ninety-six thousand".