907669152 has 336 divisors, whose sum is σ = 2996192808. Its totient is φ = 268738560.

The previous prime is 907669141. The next prime is 907669153. The reversal of 907669152 is 251966709.

It is a happy number.

907669152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 407878416 + 499790736 = 20196^2 + 22356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 907669098 and 907669107.

It is not an unprimeable number, because it can be changed into a prime (907669153) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12433788 + ... + 12433860.

Almost surely, 2^907669152 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 907669152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498096404).

907669152 is an abundant number, since it is smaller than the sum of its proper divisors (2088523656).

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

907669152 is a wasteful number, since it uses less digits than its factorization.

907669152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 907669152 is about 30127.5480582141. The cubic root of 907669152 is about 968.2240334769.

The spelling of 907669152 in words is "nine hundred seven million, six hundred sixty-nine thousand, one hundred fifty-two".