461768067 has 16 divisors (see below), whose sum is σ = 685193760. Its totient is φ = 307353600.

The previous prime is 461768053. The next prime is 461768081. The reversal of 461768067 is 760867164.

It is an interprime number because it is at equal distance from previous prime (461768053) and next prime (461768081).

It is not a de Polignac number, because 461768067 - 2¹⁰ = 461767043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461760067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3967 + ... + 30647.

It is an arithmetic number, because the mean of its divisors is an integer number (42824610).

Almost surely, 2^461768067 is an apocalyptic number.

461768067 is a deficient number, since it is larger than the sum of its proper divisors (223425693).

461768067 is a wasteful number, since it uses less digits than its factorization.

461768067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27331 (or 27325 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 461768067 is about 21488.7893330453. The cubic root of 461768067 is about 772.9320196361.

The spelling of 461768067 in words is "four hundred sixty-one million, seven hundred sixty-eight thousand, sixty-seven".