907139952 has 320 divisors, whose sum is σ = 2940288000. Its totient is φ = 266499072.

The previous prime is 907139939. The next prime is 907139953. The reversal of 907139952 is 259931709.

It is a happy number.

907139952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 907139898 and 907139907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (907139953) 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, 8807133 + ... + 8807235.

It is an arithmetic number, because the mean of its divisors is an integer number (9188400).

Almost surely, 2^907139952 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 907139952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470144000).

907139952 is an abundant number, since it is smaller than the sum of its proper divisors (2033148048).

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

907139952 is a wasteful number, since it uses less digits than its factorization.

907139952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 907139952 is about 30118.7641180710. The cubic root of 907139952 is about 968.0358284214.

The spelling of 907139952 in words is "nine hundred seven million, one hundred thirty-nine thousand, nine hundred fifty-two".