945201680 has 40 divisors (see below), whose sum is σ = 2214393984. Its totient is φ = 375190400.

The previous prime is 945201661. The next prime is 945201689. The reversal of 945201680 is 86102549.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×945201680³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 945201680.

It is not an unprimeable number, because it can be changed into a prime (945201689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34616 + ... + 55575.

Almost surely, 2^945201680 is an apocalyptic number.

It is an amenable number.

945201680 is an abundant number, since it is smaller than the sum of its proper divisors (1269192304).

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

945201680 is a wasteful number, since it uses less digits than its factorization.

945201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90335 (or 90329 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 945201680 is about 30744.1324483226. The cubic root of 945201680 is about 981.3896985304.

The spelling of 945201680 in words is "nine hundred forty-five million, two hundred one thousand, six hundred eighty".