964068000 has 384 divisors, whose sum is σ = 3773952000. Its totient is φ = 210355200.

The previous prime is 964067989. The next prime is 964068043. The reversal of 964068000 is 860469.

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 63 ways as a sum of consecutive naturals, for example, 1931751 + ... + 1932249.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^964068000 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 964068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

964068000 is an abundant number, since it is smaller than the sum of its proper divisors (2809884000).

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

964068000 is a wasteful number, since it uses less digits than its factorization.

964068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 964068000 is about 31049.4444394743. Note that the first 4 decimals coincide. The cubic root of 964068000 is about 987.8762759832.

The spelling of 964068000 in words is "nine hundred sixty-four million, sixty-eight thousand".