845384064 has 192 divisors, whose sum is σ = 2637230400. Its totient is φ = 239232000.

The previous prime is 845384063. The next prime is 845384077. The reversal of 845384064 is 460483548.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845384063) 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 23 ways as a sum of consecutive naturals, for example, 3367939 + ... + 3368189.

It is an arithmetic number, because the mean of its divisors is an integer number (13735575).

Almost surely, 2^845384064 is an apocalyptic number.

845384064 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 845384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318615200).

845384064 is an abundant number, since it is smaller than the sum of its proper divisors (1791846336).

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

845384064 is a wasteful number, since it uses less digits than its factorization.

845384064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 845384064 is about 29075.4890586556. The cubic root of 845384064 is about 945.5504063820.

The spelling of 845384064 in words is "eight hundred forty-five million, three hundred eighty-four thousand, sixty-four".