845257644 has 216 divisors, whose sum is σ = 2740727808. Its totient is φ = 217818720.

The previous prime is 845257559. The next prime is 845257657. The reversal of 845257644 is 446752548.

845257644 is a `hidden beast` number, since 84 + 525 + 7 + 6 + 44 = 666.

845257644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1075200) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 845257644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6655509 + ... + 6655635.

Almost surely, 2^845257644 is an apocalyptic number.

845257644 is a gapful number since it is divisible by the number (84) 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 845257644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370363904).

845257644 is an abundant number, since it is smaller than the sum of its proper divisors (1895470164).

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

845257644 is a wasteful number, since it uses less digits than its factorization.

845257644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 845257644 is about 29073.3149812676. The cubic root of 845257644 is about 945.5032710241.

The spelling of 845257644 in words is "eight hundred forty-five million, two hundred fifty-seven thousand, six hundred forty-four".