845525856 has 192 divisors, whose sum is σ = 2687731200. Its totient is φ = 227598336.

The previous prime is 845525833. The next prime is 845525927. The reversal of 845525856 is 658525548.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 837480 + ... + 838488.

It is an arithmetic number, because the mean of its divisors is an integer number (13998600).

Almost surely, 2^845525856 is an apocalyptic number.

845525856 is a gapful number since it is divisible by the number (86) 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 845525856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343865600).

845525856 is an abundant number, since it is smaller than the sum of its proper divisors (1842205344).

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

845525856 is a wasteful number, since it uses less digits than its factorization.

845525856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1093 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 48.

The square root of 845525856 is about 29077.9272988980. The cubic root of 845525856 is about 945.6032675584.

The spelling of 845525856 in words is "eight hundred forty-five million, five hundred twenty-five thousand, eight hundred fifty-six".