906610264224 has 384 divisors, whose sum is σ = 2908348047360. Its totient is φ = 241524301824.

The previous prime is 906610264213. The next prime is 906610264331. The reversal of 906610264224 is 422462016609.

It is a super-2 number, since 2×906610264224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683202249 + ... + 683203575.

It is an arithmetic number, because the mean of its divisors is an integer number (7573823040).

Almost surely, 2^906610264224 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 906610264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454174023680).

906610264224 is an abundant number, since it is smaller than the sum of its proper divisors (2001737783136).

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

906610264224 is a wasteful number, since it uses less digits than its factorization.

906610264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 906610264224 in words is "nine hundred six billion, six hundred ten million, two hundred sixty-four thousand, two hundred twenty-four".