907140864 has 288 divisors, whose sum is σ = 2966906880. Its totient is φ = 240316416.

The previous prime is 907140863. The next prime is 907140881. The reversal of 907140864 is 468041709.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (907140863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8477899 + ... + 8478005.

It is an arithmetic number, because the mean of its divisors is an integer number (10301760).

Almost surely, 2^907140864 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 907140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483453440).

907140864 is an abundant number, since it is smaller than the sum of its proper divisors (2059766016).

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

907140864 is a wasteful number, since it uses less digits than its factorization.

907140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 907140864 is about 30118.7792581306. The cubic root of 907140864 is about 968.0361528287.

The spelling of 907140864 in words is "nine hundred seven million, one hundred forty thousand, eight hundred sixty-four".