945880992 has 144 divisors (see below), whose sum is σ = 3085992000. Its totient is φ = 269208576.

The previous prime is 945880981. The next prime is 945880993. The reversal of 945880992 is 299088549.

945880992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (945880993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630259 + ... + 631757.

It is an arithmetic number, because the mean of its divisors is an integer number (21430500).

Almost surely, 2^945880992 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 945880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542996000).

945880992 is an abundant number, since it is smaller than the sum of its proper divisors (2140111008).

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

945880992 is a wasteful number, since it uses less digits than its factorization.

945880992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 945880992 is about 30755.1782956952. The cubic root of 945880992 is about 981.6247489491.

The spelling of 945880992 in words is "nine hundred forty-five million, eight hundred eighty thousand, nine hundred ninety-two".