845573040 has 160 divisors (see below), whose sum is σ = 3136674240. Its totient is φ = 208134144.

The previous prime is 845573021. The next prime is 845573107. The reversal of 845573040 is 40375548.

845573040 is a `hidden beast` number, since 8 + 45 + 573 + 0 + 40 = 666.

845573040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 845572986 and 845573004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13024 + ... + 43136.

It is an arithmetic number, because the mean of its divisors is an integer number (19604214).

Almost surely, 2^845573040 is an apocalyptic number.

845573040 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 845573040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568337120).

845573040 is an abundant number, since it is smaller than the sum of its proper divisors (2291101200).

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

845573040 is a wasteful number, since it uses less digits than its factorization.

845573040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30148 (or 30136 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 845573040 is about 29078.7386246378. The cubic root of 845573040 is about 945.6208568153.

The spelling of 845573040 in words is "eight hundred forty-five million, five hundred seventy-three thousand, forty".