10049768 has 16 divisors (see below), whose sum is σ = 19011780. Its totient is φ = 4979968.

The previous prime is 10049759. The next prime is 10049777. The reversal of 10049768 is 86794001.

It is an interprime number because it is at equal distance from previous prime (10049759) and next prime (10049777).

It can be written as a sum of positive squares in 2 ways, for example, as 7300804 + 2748964 = 2702^2 + 1658^2 .

It is a super-3 number, since 3×10049768³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4655 + ... + 6462.

Almost surely, 2^10049768 is an apocalyptic number.

It is an amenable number.

10049768 is a deficient number, since it is larger than the sum of its proper divisors (8962012).

10049768 is a wasteful number, since it uses less digits than its factorization.

10049768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10049768 is about 3170.1369055610. The cubic root of 10049768 is about 215.8002840760.

The spelling of 10049768 in words is "ten million, forty-nine thousand, seven hundred sixty-eight".