906195720 has 256 divisors, whose sum is σ = 2946170880. Its totient is φ = 222566400.

The previous prime is 906195707. The next prime is 906195721. The reversal of 906195720 is 27591609.

It is not an unprimeable number, because it can be changed into a prime (906195721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12413604 + ... + 12413676.

It is an arithmetic number, because the mean of its divisors is an integer number (11508480).

Almost surely, 2^906195720 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 906195720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473085440).

906195720 is an abundant number, since it is smaller than the sum of its proper divisors (2039975160).

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

906195720 is a wasteful number, since it uses less digits than its factorization.

906195720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 906195720 is about 30103.0848917515. The cubic root of 906195720 is about 967.6998392026.

The spelling of 906195720 in words is "nine hundred six million, one hundred ninety-five thousand, seven hundred twenty".