906224544 has 96 divisors (see below), whose sum is σ = 2675211840. Its totient is φ = 298411776.

The previous prime is 906224497. The next prime is 906224569. The reversal of 906224544 is 445422609.

906224544 is a `hidden beast` number, since 90 + 6 + 2 + 24 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 906224499 and 906224508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65394 + ... + 78030.

It is an arithmetic number, because the mean of its divisors is an integer number (27866790).

Almost surely, 2^906224544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906224544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337605920).

906224544 is an abundant number, since it is smaller than the sum of its proper divisors (1768987296).

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

906224544 is a wasteful number, since it uses less digits than its factorization.

906224544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 906224544 is about 30103.5636428646. The cubic root of 906224544 is about 967.7100991953.

The spelling of 906224544 in words is "nine hundred six million, two hundred twenty-four thousand, five hundred forty-four".