945584960 has 56 divisors (see below), whose sum is σ = 2268214920. Its totient is φ = 375455744.

The previous prime is 945584911. The next prime is 945585023. The reversal of 945584960 is 69485549.

It can be written as a sum of positive squares in 4 ways, for example, as 2849344 + 942735616 = 1688^2 + 30704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 945584899 and 945584908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33056 + ... + 54624.

Almost surely, 2^945584960 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 945584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134107460).

945584960 is an abundant number, since it is smaller than the sum of its proper divisors (1322629960).

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

945584960 is a wasteful number, since it uses less digits than its factorization.

945584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21723 (or 21713 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The square root of 945584960 is about 30750.3652010834. The cubic root of 945584960 is about 981.5223320274.

The spelling of 945584960 in words is "nine hundred forty-five million, five hundred eighty-four thousand, nine hundred sixty".