845295360 has 576 divisors, whose sum is σ = 3461391360. Its totient is φ = 171048960.

The previous prime is 845295349. The next prime is 845295371. The reversal of 845295360 is 63592548.

845295360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (845295349) and next prime (845295371).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14327011 + ... + 14327069.

It is an arithmetic number, because the mean of its divisors is an integer number (6009360).

Almost surely, 2^845295360 is an apocalyptic number.

845295360 is a gapful number since it is divisible by the number (80) 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 845295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730695680).

845295360 is an abundant number, since it is smaller than the sum of its proper divisors (2616096000).

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

845295360 is a wasteful number, since it uses less digits than its factorization.

845295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 845295360 is about 29073.9636100756. The cubic root of 845295360 is about 945.5173338254.

The spelling of 845295360 in words is "eight hundred forty-five million, two hundred ninety-five thousand, three hundred sixty".