952064000 has 96 divisors (see below), whose sum is σ = 2376410400. Its totient is φ = 380723200.

The previous prime is 952063999. The next prime is 952064023. The reversal of 952064000 is 460259.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 254141 + ... + 257859.

It is an arithmetic number, because the mean of its divisors is an integer number (24754275).

Almost surely, 2^952064000 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 952064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188205200).

952064000 is an abundant number, since it is smaller than the sum of its proper divisors (1424346400).

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

952064000 is an equidigital number, since it uses as much as digits as its factorization.

952064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 952064000 is about 30855.5343496106. The cubic root of 952064000 is about 983.7589909232.

The spelling of 952064000 in words is "nine hundred fifty-two million, sixty-four thousand".