945260160 has 128 divisors (see below), whose sum is σ = 3244872960. Its totient is φ = 232673280.

The previous prime is 945260159. The next prime is 945260161. The reversal of 945260160 is 61062549.

It is an interprime number because it is at equal distance from previous prime (945260159) and next prime (945260161).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (945260161) 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, 6025 + ... + 43895.

It is an arithmetic number, because the mean of its divisors is an integer number (25350570).

Almost surely, 2^945260160 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 945260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622436480).

945260160 is an abundant number, since it is smaller than the sum of its proper divisors (2299612800).

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

945260160 is a wasteful number, since it uses less digits than its factorization.

945260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37906 (or 37894 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 945260160 is about 30745.0835094003. The cubic root of 945260160 is about 981.4099377687.

The spelling of 945260160 in words is "nine hundred forty-five million, two hundred sixty thousand, one hundred sixty".