945168000 has 512 divisors, whose sum is σ = 3742502400. Its totient is φ = 206438400.

The previous prime is 945167987. The next prime is 945168017. The reversal of 945168000 is 861549.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9743952 + ... + 9744048.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2^945168000 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 945168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871251200).

945168000 is an abundant number, since it is smaller than the sum of its proper divisors (2797334400).

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

945168000 is a wasteful number, since it uses less digits than its factorization.

945168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 945168000 is about 30743.5846966485. The cubic root of 945168000 is about 981.3780419008.

It can be divided in two parts, 945 and 168000, that multiplied together give a square (158760000 = 12600²).

The spelling of 945168000 in words is "nine hundred forty-five million, one hundred sixty-eight thousand".