906724224 has 144 divisors (see below), whose sum is σ = 3035373120. Its totient is φ = 259047936.

The previous prime is 906724211. The next prime is 906724261. The reversal of 906724224 is 422427609.

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 a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 48417 + ... + 64479.

It is an arithmetic number, because the mean of its divisors is an integer number (21078980).

Almost surely, 2^906724224 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 906724224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517686560).

906724224 is an abundant number, since it is smaller than the sum of its proper divisors (2128648896).

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

906724224 is a wasteful number, since it uses less digits than its factorization.

906724224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16097 (or 16075 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 906724224 is about 30111.8618487798. The cubic root of 906724224 is about 967.8879272841.

The spelling of 906724224 in words is "nine hundred six million, seven hundred twenty-four thousand, two hundred twenty-four".