945076896 has 120 divisors (see below), whose sum is σ = 2847556404. Its totient is φ = 307307520.

The previous prime is 945076889. The next prime is 945076933. The reversal of 945076896 is 698670549.

It can be written as a sum of positive squares in 2 ways, for example, as 738752400 + 206324496 = 27180^2 + 14364^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 101826 + ... + 110718.

Almost surely, 2^945076896 is an apocalyptic number.

945076896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945076896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423778202).

945076896 is an abundant number, since it is smaller than the sum of its proper divisors (1902479508).

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

945076896 is a wasteful number, since it uses less digits than its factorization.

945076896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 945076896 is about 30742.1029859702. The cubic root of 945076896 is about 981.3465094685.

The spelling of 945076896 in words is "nine hundred forty-five million, seventy-six thousand, eight hundred ninety-six".