68046001 has 9 divisors (see below), whose sum is σ = 69606849. Its totient is φ = 66519936.

The previous prime is 68045981. The next prime is 68046007. The reversal of 68046001 is 10064086.

The square root of 68046001 is 8249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20711601 + 47334400 = 4551^2 + 6880^2 .

It is not a de Polignac number, because 68046001 - 2⁹ = 68045489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68046007) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 602121 + ... + 602233.

Almost surely, 2^68046001 is an apocalyptic number.

68046001 is the 8249-th square number.

68046001 is the 4125-th centered octagonal number.

It is an amenable number.

68046001 is a deficient number, since it is larger than the sum of its proper divisors (1560848).

68046001 is an frugal number, since it uses more digits than its factorization.

68046001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 68046001 is about 408.2575287669.

Multiplying 68046001 by its sum of digits (25), we get a square (1701150025 = 41245²).

The spelling of 68046001 in words is "sixty-eight million, forty-six thousand, one".