845993808 has 240 divisors, whose sum is σ = 2716826112. Its totient is φ = 252720000.

The previous prime is 845993803. The next prime is 845993821. The reversal of 845993808 is 808399548.

It is a happy number.

845993808 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845993803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5602533 + ... + 5602683.

Almost surely, 2^845993808 is an apocalyptic number.

845993808 is a gapful number since it is divisible by the number (88) 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 845993808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358413056).

845993808 is an abundant number, since it is smaller than the sum of its proper divisors (1870832304).

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

845993808 is a wasteful number, since it uses less digits than its factorization.

845993808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 845993808 is about 29085.9727016306. The cubic root of 845993808 is about 945.7776818315. Note that the first 3 decimals are identical.

The spelling of 845993808 in words is "eight hundred forty-five million, nine hundred ninety-three thousand, eight hundred eight".