945492968 has 64 divisors (see below), whose sum is σ = 2087312640. Its totient is φ = 393030144.

The previous prime is 945492967. The next prime is 945492983. The reversal of 945492968 is 869294549.

It is a happy number.

945492968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (945492967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008596 + ... + 1009532.

It is an arithmetic number, because the mean of its divisors is an integer number (32614260).

Almost surely, 2^945492968 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 945492968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043656320).

945492968 is an abundant number, since it is smaller than the sum of its proper divisors (1141819672).

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

945492968 is a wasteful number, since it uses less digits than its factorization.

945492968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1470 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 56.

The square root of 945492968 is about 30748.8693775885. The cubic root of 945492968 is about 981.4905015963.

The spelling of 945492968 in words is "nine hundred forty-five million, four hundred ninety-two thousand, nine hundred sixty-eight".