906556224 has 112 divisors (see below), whose sum is σ = 2860535808. Its totient is φ = 247746048.

The previous prime is 906556199. The next prime is 906556237. The reversal of 906556224 is 422655609.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16249 + ... + 45575.

Almost surely, 2^906556224 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 906556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430267904).

906556224 is an abundant number, since it is smaller than the sum of its proper divisors (1953979584).

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

906556224 is a wasteful number, since it uses less digits than its factorization.

906556224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29372 (or 29362 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 906556224 is about 30109.0721212063. The cubic root of 906556224 is about 967.8281460735.

The spelling of 906556224 in words is "nine hundred six million, five hundred fifty-six thousand, two hundred twenty-four".