907121712 has 240 divisors, whose sum is σ = 2931240960. Its totient is φ = 240274944.

The previous prime is 907121707. The next prime is 907121713. The reversal of 907121712 is 217121709.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 907121712.

It is not an unprimeable number, because it can be changed into a prime (907121713) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2368273 + ... + 2368655.

It is an arithmetic number, because the mean of its divisors is an integer number (12213504).

Almost surely, 2^907121712 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 907121712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465620480).

907121712 is an abundant number, since it is smaller than the sum of its proper divisors (2024119248).

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

907121712 is a wasteful number, since it uses less digits than its factorization.

907121712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 907121712 is about 30118.4613152797. The cubic root of 907121712 is about 968.0293402304.

The spelling of 907121712 in words is "nine hundred seven million, one hundred twenty-one thousand, seven hundred twelve".