845591040 has 480 divisors, whose sum is σ = 3447100800. Its totient is φ = 191471616.

The previous prime is 845591039. The next prime is 845591041. The reversal of 845591040 is 40195548.

It is an interprime number because it is at equal distance from previous prime (845591039) and next prime (845591041).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 845590986 and 845591004.

It is not an unprimeable number, because it can be changed into a prime (845591041) 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 47 ways as a sum of consecutive naturals, for example, 7902667 + ... + 7902773.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^845591040 is an apocalyptic number.

845591040 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 845591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723550400).

845591040 is an abundant number, since it is smaller than the sum of its proper divisors (2601509760).

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

845591040 is a wasteful number, since it uses less digits than its factorization.

845591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 845591040 is about 29079.0481274749. The cubic root of 845591040 is about 945.6275666850.

The spelling of 845591040 in words is "eight hundred forty-five million, five hundred ninety-one thousand, forty".