845236224 has 144 divisors (see below), whose sum is σ = 2790365760. Its totient is φ = 241459200.

The previous prime is 845236211. The next prime is 845236229. The reversal of 845236224 is 422632548.

845236224 is a `hidden beast` number, since 8 + 4 + 5 + 23 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (845236229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125749 + ... + 132299.

It is an arithmetic number, because the mean of its divisors is an integer number (19377540).

Almost surely, 2^845236224 is an apocalyptic number.

845236224 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 845236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395182880).

845236224 is an abundant number, since it is smaller than the sum of its proper divisors (1945129536).

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

845236224 is a wasteful number, since it uses less digits than its factorization.

845236224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6563 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 845236224 is about 29072.9465998890. The cubic root of 845236224 is about 945.4952841689.

The spelling of 845236224 in words is "eight hundred forty-five million, two hundred thirty-six thousand, two hundred twenty-four".