945084672 has 360 divisors, whose sum is σ = 3419006976. Its totient is φ = 253476864.

The previous prime is 945084661. The next prime is 945084703. The reversal of 945084672 is 276480549.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2467393 + ... + 2467775.

Almost surely, 2^945084672 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 945084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709503488).

945084672 is an abundant number, since it is smaller than the sum of its proper divisors (2473922304).

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

945084672 is a wasteful number, since it uses less digits than its factorization.

945084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 945084672 is about 30742.2294572141. The cubic root of 945084672 is about 981.3492009354.

The spelling of 945084672 in words is "nine hundred forty-five million, eighty-four thousand, six hundred seventy-two".