945308160 has 240 divisors, whose sum is σ = 3317834520. Its totient is φ = 248709120.

The previous prime is 945308123. The next prime is 945308179. The reversal of 945308160 is 61803549.

It can be written as a sum of positive squares in 4 ways, for example, as 533055744 + 412252416 = 23088^2 + 20304^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050330 + ... + 2050790.

Almost surely, 2^945308160 is an apocalyptic number.

945308160 is a gapful number since it is divisible by the number (90) 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 945308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658917260).

945308160 is an abundant number, since it is smaller than the sum of its proper divisors (2372526360).

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

945308160 is a wasteful number, since it uses less digits than its factorization.

945308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 945308160 is about 30745.8641121046. The cubic root of 945308160 is about 981.4265493788.

The spelling of 945308160 in words is "nine hundred forty-five million, three hundred eight thousand, one hundred sixty".