945856576 has 112 divisors (see below), whose sum is σ = 2267712000. Its totient is φ = 382814208.

The previous prime is 945856559. The next prime is 945856579. The reversal of 945856576 is 675658549.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×945856576⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (945856579) 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, 609850 + ... + 611398.

Almost surely, 2^945856576 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 945856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133856000).

945856576 is an abundant number, since it is smaller than the sum of its proper divisors (1321855424).

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

945856576 is a wasteful number, since it uses less digits than its factorization.

945856576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 55.

The square root of 945856576 is about 30754.7813518484. The cubic root of 945856576 is about 981.6163026589.

The spelling of 945856576 in words is "nine hundred forty-five million, eight hundred fifty-six thousand, five hundred seventy-six".