845296640 has 88 divisors (see below), whose sum is σ = 2098011240. Its totient is φ = 326402048.

The previous prime is 845296609. The next prime is 845296649. The reversal of 845296640 is 46692548.

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 833130496 = 3488^2 + 28864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 845296591 and 845296600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845296649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145634 + ... + 151326.

Almost surely, 2^845296640 is an apocalyptic number.

845296640 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 845296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049005620).

845296640 is an abundant number, since it is smaller than the sum of its proper divisors (1252714600).

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

845296640 is a wasteful number, since it uses less digits than its factorization.

845296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 845296640 is about 29073.9856228898. The cubic root of 845296640 is about 945.5178110793.

The spelling of 845296640 in words is "eight hundred forty-five million, two hundred ninety-six thousand, six hundred forty".