845325360 has 360 divisors, whose sum is σ = 3231376512. Its totient is φ = 197683200.

The previous prime is 845325353. The next prime is 845325367. The reversal of 845325360 is 63523548.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (845325353) and next prime (845325367).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (845325367) 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 71 ways as a sum of consecutive naturals, for example, 2700564 + ... + 2700876.

Almost surely, 2^845325360 is an apocalyptic number.

845325360 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 845325360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615688256).

845325360 is an abundant number, since it is smaller than the sum of its proper divisors (2386051152).

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

845325360 is a wasteful number, since it uses less digits than its factorization.

845325360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 845325360 is about 29074.4795310251. The cubic root of 845325360 is about 945.5285193375.

The spelling of 845325360 in words is "eight hundred forty-five million, three hundred twenty-five thousand, three hundred sixty".