907968249 has 24 divisors (see below), whose sum is σ = 1391855400. Its totient is φ = 568393728.

The previous prime is 907968239. The next prime is 907968253. The reversal of 907968249 is 942869709.

It can be written as a sum of positive squares in 4 ways, for example, as 247118400 + 660849849 = 15720^2 + 25707^2 .

It is not a de Polignac number, because 907968249 - 2¹¹ = 907966201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 907968195 and 907968204.

It is not an unprimeable number, because it can be changed into a prime (907968239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62089 + ... + 75305.

It is an arithmetic number, because the mean of its divisors is an integer number (57993975).

Almost surely, 2^907968249 is an apocalyptic number.

It is an amenable number.

907968249 is a deficient number, since it is larger than the sum of its proper divisors (483887151).

907968249 is a wasteful number, since it uses less digits than its factorization.

907968249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13689 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 907968249 is about 30132.5114950613. The cubic root of 907968249 is about 968.3303721870.

The spelling of 907968249 in words is "nine hundred seven million, nine hundred sixty-eight thousand, two hundred forty-nine".